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What is the Least Common Multiple of 93519 and 93532?

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 93519 and 93532 is 8747019108.

LCM(93519,93532) = 8747019108

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Least Common Multiple of 93519 and 93532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93519 and 93532, than apply into the LCM equation.

GCF(93519,93532) = 1
LCM(93519,93532) = ( 93519 × 93532) / 1
LCM(93519,93532) = 8747019108 / 1
LCM(93519,93532) = 8747019108

Least Common Multiple (LCM) of 93519 and 93532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93519 and 93532. First we will calculate the prime factors of 93519 and 93532.

Prime Factorization of 93519

Prime factors of 93519 are 3, 10391. Prime factorization of 93519 in exponential form is:

93519 = 32 × 103911

Prime Factorization of 93532

Prime factors of 93532 are 2, 67, 349. Prime factorization of 93532 in exponential form is:

93532 = 22 × 671 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 93519 and 93532.

LCM(93519,93532) = 32 × 103911 × 22 × 671 × 3491
LCM(93519,93532) = 8747019108