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What is the Least Common Multiple of 93775 and 93790?

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 93775 and 93790 is 1759031450.

LCM(93775,93790) = 1759031450

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Least Common Multiple of 93775 and 93790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93775 and 93790, than apply into the LCM equation.

GCF(93775,93790) = 5
LCM(93775,93790) = ( 93775 × 93790) / 5
LCM(93775,93790) = 8795157250 / 5
LCM(93775,93790) = 1759031450

Least Common Multiple (LCM) of 93775 and 93790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93775 and 93790. First we will calculate the prime factors of 93775 and 93790.

Prime Factorization of 93775

Prime factors of 93775 are 5, 11, 31. Prime factorization of 93775 in exponential form is:

93775 = 52 × 112 × 311

Prime Factorization of 93790

Prime factors of 93790 are 2, 5, 83, 113. Prime factorization of 93790 in exponential form is:

93790 = 21 × 51 × 831 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 93775 and 93790.

LCM(93775,93790) = 52 × 112 × 311 × 21 × 831 × 1131
LCM(93775,93790) = 1759031450