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What is the Least Common Multiple of 64775 and 64790?

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 64775 and 64790 is 839354450.

LCM(64775,64790) = 839354450

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Least Common Multiple of 64775 and 64790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64775 and 64790, than apply into the LCM equation.

GCF(64775,64790) = 5
LCM(64775,64790) = ( 64775 × 64790) / 5
LCM(64775,64790) = 4196772250 / 5
LCM(64775,64790) = 839354450

Least Common Multiple (LCM) of 64775 and 64790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64775 and 64790. First we will calculate the prime factors of 64775 and 64790.

Prime Factorization of 64775

Prime factors of 64775 are 5, 2591. Prime factorization of 64775 in exponential form is:

64775 = 52 × 25911

Prime Factorization of 64790

Prime factors of 64790 are 2, 5, 11, 19, 31. Prime factorization of 64790 in exponential form is:

64790 = 21 × 51 × 111 × 191 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 64775 and 64790.

LCM(64775,64790) = 52 × 25911 × 21 × 111 × 191 × 311
LCM(64775,64790) = 839354450