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What is the Least Common Multiple of 56070 and 56080?

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 56070 and 56080 is 314440560.

LCM(56070,56080) = 314440560

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Least Common Multiple of 56070 and 56080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56070 and 56080, than apply into the LCM equation.

GCF(56070,56080) = 10
LCM(56070,56080) = ( 56070 × 56080) / 10
LCM(56070,56080) = 3144405600 / 10
LCM(56070,56080) = 314440560

Least Common Multiple (LCM) of 56070 and 56080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56070 and 56080. First we will calculate the prime factors of 56070 and 56080.

Prime Factorization of 56070

Prime factors of 56070 are 2, 3, 5, 7, 89. Prime factorization of 56070 in exponential form is:

56070 = 21 × 32 × 51 × 71 × 891

Prime Factorization of 56080

Prime factors of 56080 are 2, 5, 701. Prime factorization of 56080 in exponential form is:

56080 = 24 × 51 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 56070 and 56080.

LCM(56070,56080) = 24 × 32 × 51 × 71 × 891 × 7011
LCM(56070,56080) = 314440560