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What is the Least Common Multiple of 93839 and 93852?

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 93839 and 93852 is 8806977828.

LCM(93839,93852) = 8806977828

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Least Common Multiple of 93839 and 93852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93839 and 93852, than apply into the LCM equation.

GCF(93839,93852) = 1
LCM(93839,93852) = ( 93839 × 93852) / 1
LCM(93839,93852) = 8806977828 / 1
LCM(93839,93852) = 8806977828

Least Common Multiple (LCM) of 93839 and 93852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93839 and 93852. First we will calculate the prime factors of 93839 and 93852.

Prime Factorization of 93839

Prime factors of 93839 are 107, 877. Prime factorization of 93839 in exponential form is:

93839 = 1071 × 8771

Prime Factorization of 93852

Prime factors of 93852 are 2, 3, 11, 79. Prime factorization of 93852 in exponential form is:

93852 = 22 × 33 × 111 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 93839 and 93852.

LCM(93839,93852) = 1071 × 8771 × 22 × 33 × 111 × 791
LCM(93839,93852) = 8806977828