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What is the Least Common Multiple of 93575 and 93580?

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 93575 and 93580 is 1751349700.

LCM(93575,93580) = 1751349700

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Least Common Multiple of 93575 and 93580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93575 and 93580, than apply into the LCM equation.

GCF(93575,93580) = 5
LCM(93575,93580) = ( 93575 × 93580) / 5
LCM(93575,93580) = 8756748500 / 5
LCM(93575,93580) = 1751349700

Least Common Multiple (LCM) of 93575 and 93580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93575 and 93580. First we will calculate the prime factors of 93575 and 93580.

Prime Factorization of 93575

Prime factors of 93575 are 5, 19, 197. Prime factorization of 93575 in exponential form is:

93575 = 52 × 191 × 1971

Prime Factorization of 93580

Prime factors of 93580 are 2, 5, 4679. Prime factorization of 93580 in exponential form is:

93580 = 22 × 51 × 46791

Now multiplying the highest exponent prime factors to calculate the LCM of 93575 and 93580.

LCM(93575,93580) = 52 × 191 × 1971 × 22 × 46791
LCM(93575,93580) = 1751349700