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What is the Least Common Multiple of 93779 and 93783?

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 93779 and 93783 is 8794875957.

LCM(93779,93783) = 8794875957

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Least Common Multiple of 93779 and 93783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93779 and 93783, than apply into the LCM equation.

GCF(93779,93783) = 1
LCM(93779,93783) = ( 93779 × 93783) / 1
LCM(93779,93783) = 8794875957 / 1
LCM(93779,93783) = 8794875957

Least Common Multiple (LCM) of 93779 and 93783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93779 and 93783. First we will calculate the prime factors of 93779 and 93783.

Prime Factorization of 93779

Prime factors of 93779 are 7, 13397. Prime factorization of 93779 in exponential form is:

93779 = 71 × 133971

Prime Factorization of 93783

Prime factors of 93783 are 3, 43, 727. Prime factorization of 93783 in exponential form is:

93783 = 31 × 431 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 93779 and 93783.

LCM(93779,93783) = 71 × 133971 × 31 × 431 × 7271
LCM(93779,93783) = 8794875957