# What is the Least Common Multiple of 120 and 130?

*Least common multiple* or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 120 and 130 is **1560**.

LCM(120,130) = 1560

## Least Common Multiple of 120 and 130 with GCF Formula

The formula of **LCM** is LCM(a,b) = ( a × b) / GCF(a,b).

We need to calculate greatest common factor 120 and 130, than apply into the LCM equation.

GCF(120,130) = 10

LCM(120,130) = ( 120 × 130) / 10

LCM(120,130) = 15600 / 10

LCM(120,130) = 1560

## Least Common Multiple (LCM) of 120 and 130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 120 and 130. First we will calculate the **prime factors of 120 and 130**.

### Prime Factorization of 120

Prime factors of 120 are 2, 3, 5. Prime factorization of **120** in exponential form is:

120 = 2^{3} × 3^{1} × 5^{1}

### Prime Factorization of 130

Prime factors of 130 are 2, 5, 13. Prime factorization of **130** in exponential form is:

130 = 2^{1} × 5^{1} × 13^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 120 and 130**.

LCM(120,130) = 2^{3} × 3^{1} × 5^{1} × 13^{1}

LCM(120,130) = 1560

#### Related Least Common Multiples of 120

- LCM of 120 and 124
- LCM of 120 and 125
- LCM of 120 and 126
- LCM of 120 and 127
- LCM of 120 and 128
- LCM of 120 and 129
- LCM of 120 and 130
- LCM of 120 and 131
- LCM of 120 and 132
- LCM of 120 and 133
- LCM of 120 and 134
- LCM of 120 and 135
- LCM of 120 and 136
- LCM of 120 and 137
- LCM of 120 and 138
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- LCM of 120 and 140

#### Related Least Common Multiples of 130

- LCM of 130 and 134
- LCM of 130 and 135
- LCM of 130 and 136
- LCM of 130 and 137
- LCM of 130 and 138
- LCM of 130 and 139
- LCM of 130 and 140
- LCM of 130 and 141
- LCM of 130 and 142
- LCM of 130 and 143
- LCM of 130 and 144
- LCM of 130 and 145
- LCM of 130 and 146
- LCM of 130 and 147
- LCM of 130 and 148
- LCM of 130 and 149
- LCM of 130 and 150