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What is the Least Common Multiple of 56070 and 56078?

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 56078 is 1572146730.

LCM(56070,56078) = 1572146730

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Least Common Multiple of 56070 and 56078 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 56078, than apply into the LCM equation.

GCF(56070,56078) = 2
LCM(56070,56078) = ( 56070 × 56078) / 2
LCM(56070,56078) = 3144293460 / 2
LCM(56070,56078) = 1572146730

Least Common Multiple (LCM) of 56070 and 56078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56070 and 56078. First we will calculate the prime factors of 56070 and 56078.

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 56078

Prime factors of 56078 are 2, 11, 2549. Prime factorization of 56078 in exponential form is:

56078 = 21 × 111 × 25491

Now multiplying the highest exponent prime factors to calculate the LCM of 56070 and 56078.

LCM(56070,56078) = 21 × 32 × 51 × 71 × 891 × 111 × 25491
LCM(56070,56078) = 1572146730