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What is the Least Common Multiple of 70607 and 70612?

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 70607 and 70612 is 4985701484.

LCM(70607,70612) = 4985701484

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Least Common Multiple of 70607 and 70612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70607 and 70612, than apply into the LCM equation.

GCF(70607,70612) = 1
LCM(70607,70612) = ( 70607 × 70612) / 1
LCM(70607,70612) = 4985701484 / 1
LCM(70607,70612) = 4985701484

Least Common Multiple (LCM) of 70607 and 70612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70607 and 70612. First we will calculate the prime factors of 70607 and 70612.

Prime Factorization of 70607

Prime factors of 70607 are 70607. Prime factorization of 70607 in exponential form is:

70607 = 706071

Prime Factorization of 70612

Prime factors of 70612 are 2, 127, 139. Prime factorization of 70612 in exponential form is:

70612 = 22 × 1271 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 70607 and 70612.

LCM(70607,70612) = 706071 × 22 × 1271 × 1391
LCM(70607,70612) = 4985701484