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What is the Least Common Multiple of 68617 and 68624?

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 68617 and 68624 is 4708773008.

LCM(68617,68624) = 4708773008

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Least Common Multiple of 68617 and 68624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68617 and 68624, than apply into the LCM equation.

GCF(68617,68624) = 1
LCM(68617,68624) = ( 68617 × 68624) / 1
LCM(68617,68624) = 4708773008 / 1
LCM(68617,68624) = 4708773008

Least Common Multiple (LCM) of 68617 and 68624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68617 and 68624. First we will calculate the prime factors of 68617 and 68624.

Prime Factorization of 68617

Prime factors of 68617 are 59, 1163. Prime factorization of 68617 in exponential form is:

68617 = 591 × 11631

Prime Factorization of 68624

Prime factors of 68624 are 2, 4289. Prime factorization of 68624 in exponential form is:

68624 = 24 × 42891

Now multiplying the highest exponent prime factors to calculate the LCM of 68617 and 68624.

LCM(68617,68624) = 591 × 11631 × 24 × 42891
LCM(68617,68624) = 4708773008