What is the Least Common Multiple of 116 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 116 and 130 is 7540.

LCM(116,130) = 7540

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Least Common Multiple of 116 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 116 and 130, than apply into the LCM equation.

GCF(116,130) = 2
LCM(116,130) = ( 116 × 130) / 2
LCM(116,130) = 15080 / 2
LCM(116,130) = 7540

Least Common Multiple (LCM) of 116 and 130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 116 and 130. First we will calculate the prime factors of 116 and 130.

Prime Factorization of 116

Prime factors of 116 are 2, 29. Prime factorization of 116 in exponential form is:

116 = 22 × 291

Prime Factorization of 130

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

130 = 21 × 51 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 116 and 130.

LCM(116,130) = 22 × 291 × 51 × 131
LCM(116,130) = 7540