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What is the Least Common Multiple of 52602 and 52608?

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 52602 and 52608 is 461214336.

LCM(52602,52608) = 461214336

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Least Common Multiple of 52602 and 52608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52602 and 52608, than apply into the LCM equation.

GCF(52602,52608) = 6
LCM(52602,52608) = ( 52602 × 52608) / 6
LCM(52602,52608) = 2767286016 / 6
LCM(52602,52608) = 461214336

Least Common Multiple (LCM) of 52602 and 52608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52602 and 52608. First we will calculate the prime factors of 52602 and 52608.

Prime Factorization of 52602

Prime factors of 52602 are 2, 3, 11, 797. Prime factorization of 52602 in exponential form is:

52602 = 21 × 31 × 111 × 7971

Prime Factorization of 52608

Prime factors of 52608 are 2, 3, 137. Prime factorization of 52608 in exponential form is:

52608 = 27 × 31 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 52602 and 52608.

LCM(52602,52608) = 27 × 31 × 111 × 7971 × 1371
LCM(52602,52608) = 461214336