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What is the Least Common Multiple of 93710 and 93725?

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 93710 and 93725 is 1756593950.

LCM(93710,93725) = 1756593950

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Least Common Multiple of 93710 and 93725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93710 and 93725, than apply into the LCM equation.

GCF(93710,93725) = 5
LCM(93710,93725) = ( 93710 × 93725) / 5
LCM(93710,93725) = 8782969750 / 5
LCM(93710,93725) = 1756593950

Least Common Multiple (LCM) of 93710 and 93725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93710 and 93725. First we will calculate the prime factors of 93710 and 93725.

Prime Factorization of 93710

Prime factors of 93710 are 2, 5, 9371. Prime factorization of 93710 in exponential form is:

93710 = 21 × 51 × 93711

Prime Factorization of 93725

Prime factors of 93725 are 5, 23, 163. Prime factorization of 93725 in exponential form is:

93725 = 52 × 231 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 93710 and 93725.

LCM(93710,93725) = 21 × 52 × 93711 × 231 × 1631
LCM(93710,93725) = 1756593950