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What is the Least Common Multiple of 93368 and 93384?

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 93368 and 93384 is 1089884664.

LCM(93368,93384) = 1089884664

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Least Common Multiple of 93368 and 93384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93368 and 93384, than apply into the LCM equation.

GCF(93368,93384) = 8
LCM(93368,93384) = ( 93368 × 93384) / 8
LCM(93368,93384) = 8719077312 / 8
LCM(93368,93384) = 1089884664

Least Common Multiple (LCM) of 93368 and 93384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93368 and 93384. First we will calculate the prime factors of 93368 and 93384.

Prime Factorization of 93368

Prime factors of 93368 are 2, 11, 1061. Prime factorization of 93368 in exponential form is:

93368 = 23 × 111 × 10611

Prime Factorization of 93384

Prime factors of 93384 are 2, 3, 1297. Prime factorization of 93384 in exponential form is:

93384 = 23 × 32 × 12971

Now multiplying the highest exponent prime factors to calculate the LCM of 93368 and 93384.

LCM(93368,93384) = 23 × 111 × 10611 × 32 × 12971
LCM(93368,93384) = 1089884664