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What is the Least Common Multiple of 68635 and 68639?

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 68635 and 68639 is 4711037765.

LCM(68635,68639) = 4711037765

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Least Common Multiple of 68635 and 68639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68635 and 68639, than apply into the LCM equation.

GCF(68635,68639) = 1
LCM(68635,68639) = ( 68635 × 68639) / 1
LCM(68635,68639) = 4711037765 / 1
LCM(68635,68639) = 4711037765

Least Common Multiple (LCM) of 68635 and 68639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68635 and 68639. First we will calculate the prime factors of 68635 and 68639.

Prime Factorization of 68635

Prime factors of 68635 are 5, 7, 37, 53. Prime factorization of 68635 in exponential form is:

68635 = 51 × 71 × 371 × 531

Prime Factorization of 68639

Prime factors of 68639 are 68639. Prime factorization of 68639 in exponential form is:

68639 = 686391

Now multiplying the highest exponent prime factors to calculate the LCM of 68635 and 68639.

LCM(68635,68639) = 51 × 71 × 371 × 531 × 686391
LCM(68635,68639) = 4711037765