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What is the Least Common Multiple of 93339 and 93354?

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 93339 and 93354 is 2904523002.

LCM(93339,93354) = 2904523002

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Least Common Multiple of 93339 and 93354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93339 and 93354, than apply into the LCM equation.

GCF(93339,93354) = 3
LCM(93339,93354) = ( 93339 × 93354) / 3
LCM(93339,93354) = 8713569006 / 3
LCM(93339,93354) = 2904523002

Least Common Multiple (LCM) of 93339 and 93354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93339 and 93354. First we will calculate the prime factors of 93339 and 93354.

Prime Factorization of 93339

Prime factors of 93339 are 3, 3457. Prime factorization of 93339 in exponential form is:

93339 = 33 × 34571

Prime Factorization of 93354

Prime factors of 93354 are 2, 3, 15559. Prime factorization of 93354 in exponential form is:

93354 = 21 × 31 × 155591

Now multiplying the highest exponent prime factors to calculate the LCM of 93339 and 93354.

LCM(93339,93354) = 33 × 34571 × 21 × 155591
LCM(93339,93354) = 2904523002