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What is the Least Common Multiple of 56066 and 56070?

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 56066 and 56070 is 1571810310.

LCM(56066,56070) = 1571810310

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Least Common Multiple of 56066 and 56070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56066 and 56070, than apply into the LCM equation.

GCF(56066,56070) = 2
LCM(56066,56070) = ( 56066 × 56070) / 2
LCM(56066,56070) = 3143620620 / 2
LCM(56066,56070) = 1571810310

Least Common Multiple (LCM) of 56066 and 56070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56066 and 56070. First we will calculate the prime factors of 56066 and 56070.

Prime Factorization of 56066

Prime factors of 56066 are 2, 17, 97. Prime factorization of 56066 in exponential form is:

56066 = 21 × 172 × 971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 56066 and 56070.

LCM(56066,56070) = 21 × 172 × 971 × 32 × 51 × 71 × 891
LCM(56066,56070) = 1571810310