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What is the Least Common Multiple of 93610 and 93624?

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 93610 and 93624 is 4382071320.

LCM(93610,93624) = 4382071320

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Least Common Multiple of 93610 and 93624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93610 and 93624, than apply into the LCM equation.

GCF(93610,93624) = 2
LCM(93610,93624) = ( 93610 × 93624) / 2
LCM(93610,93624) = 8764142640 / 2
LCM(93610,93624) = 4382071320

Least Common Multiple (LCM) of 93610 and 93624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93610 and 93624. First we will calculate the prime factors of 93610 and 93624.

Prime Factorization of 93610

Prime factors of 93610 are 2, 5, 11, 23, 37. Prime factorization of 93610 in exponential form is:

93610 = 21 × 51 × 111 × 231 × 371

Prime Factorization of 93624

Prime factors of 93624 are 2, 3, 47, 83. Prime factorization of 93624 in exponential form is:

93624 = 23 × 31 × 471 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 93610 and 93624.

LCM(93610,93624) = 23 × 51 × 111 × 231 × 371 × 31 × 471 × 831
LCM(93610,93624) = 4382071320