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What is the Least Common Multiple of 93729 and 93748?

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 93729 and 93748 is 8786906292.

LCM(93729,93748) = 8786906292

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Least Common Multiple of 93729 and 93748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93729 and 93748, than apply into the LCM equation.

GCF(93729,93748) = 1
LCM(93729,93748) = ( 93729 × 93748) / 1
LCM(93729,93748) = 8786906292 / 1
LCM(93729,93748) = 8786906292

Least Common Multiple (LCM) of 93729 and 93748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93729 and 93748. First we will calculate the prime factors of 93729 and 93748.

Prime Factorization of 93729

Prime factors of 93729 are 3, 157, 199. Prime factorization of 93729 in exponential form is:

93729 = 31 × 1571 × 1991

Prime Factorization of 93748

Prime factors of 93748 are 2, 23, 1019. Prime factorization of 93748 in exponential form is:

93748 = 22 × 231 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 93729 and 93748.

LCM(93729,93748) = 31 × 1571 × 1991 × 22 × 231 × 10191
LCM(93729,93748) = 8786906292