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What is the Least Common Multiple of 90777 and 90785?

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 90777 and 90785 is 8241189945.

LCM(90777,90785) = 8241189945

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Least Common Multiple of 90777 and 90785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90777 and 90785, than apply into the LCM equation.

GCF(90777,90785) = 1
LCM(90777,90785) = ( 90777 × 90785) / 1
LCM(90777,90785) = 8241189945 / 1
LCM(90777,90785) = 8241189945

Least Common Multiple (LCM) of 90777 and 90785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90777 and 90785. First we will calculate the prime factors of 90777 and 90785.

Prime Factorization of 90777

Prime factors of 90777 are 3, 30259. Prime factorization of 90777 in exponential form is:

90777 = 31 × 302591

Prime Factorization of 90785

Prime factors of 90785 are 5, 67, 271. Prime factorization of 90785 in exponential form is:

90785 = 51 × 671 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 90777 and 90785.

LCM(90777,90785) = 31 × 302591 × 51 × 671 × 2711
LCM(90777,90785) = 8241189945