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What is the Least Common Multiple of 93755 and 93772?

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 93755 and 93772 is 517152580.

LCM(93755,93772) = 517152580

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Least Common Multiple of 93755 and 93772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93755 and 93772, than apply into the LCM equation.

GCF(93755,93772) = 17
LCM(93755,93772) = ( 93755 × 93772) / 17
LCM(93755,93772) = 8791593860 / 17
LCM(93755,93772) = 517152580

Least Common Multiple (LCM) of 93755 and 93772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93755 and 93772. First we will calculate the prime factors of 93755 and 93772.

Prime Factorization of 93755

Prime factors of 93755 are 5, 17, 1103. Prime factorization of 93755 in exponential form is:

93755 = 51 × 171 × 11031

Prime Factorization of 93772

Prime factors of 93772 are 2, 7, 17, 197. Prime factorization of 93772 in exponential form is:

93772 = 22 × 71 × 171 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 93755 and 93772.

LCM(93755,93772) = 51 × 171 × 11031 × 22 × 71 × 1971
LCM(93755,93772) = 517152580