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What is the Least Common Multiple of 93717 and 93728?

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 93717 and 93728 is 8783906976.

LCM(93717,93728) = 8783906976

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Least Common Multiple of 93717 and 93728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93717 and 93728, than apply into the LCM equation.

GCF(93717,93728) = 1
LCM(93717,93728) = ( 93717 × 93728) / 1
LCM(93717,93728) = 8783906976 / 1
LCM(93717,93728) = 8783906976

Least Common Multiple (LCM) of 93717 and 93728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93717 and 93728. First we will calculate the prime factors of 93717 and 93728.

Prime Factorization of 93717

Prime factors of 93717 are 3, 13, 89. Prime factorization of 93717 in exponential form is:

93717 = 34 × 131 × 891

Prime Factorization of 93728

Prime factors of 93728 are 2, 29, 101. Prime factorization of 93728 in exponential form is:

93728 = 25 × 291 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 93717 and 93728.

LCM(93717,93728) = 34 × 131 × 891 × 25 × 291 × 1011
LCM(93717,93728) = 8783906976