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What is the Least Common Multiple of 93710 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 93710 and 93728 is 4391625440.

LCM(93710,93728) = 4391625440

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Least Common Multiple of 93710 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 93710 and 93728, than apply into the LCM equation.

GCF(93710,93728) = 2
LCM(93710,93728) = ( 93710 × 93728) / 2
LCM(93710,93728) = 8783250880 / 2
LCM(93710,93728) = 4391625440

Least Common Multiple (LCM) of 93710 and 93728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93710 and 93728. First we will calculate the prime factors of 93710 and 93728.

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 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 93710 and 93728.

LCM(93710,93728) = 25 × 51 × 93711 × 291 × 1011
LCM(93710,93728) = 4391625440