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What is the Least Common Multiple of 64790 and 64805?

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 64790 and 64805 is 839743190.

LCM(64790,64805) = 839743190

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Least Common Multiple of 64790 and 64805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64790 and 64805, than apply into the LCM equation.

GCF(64790,64805) = 5
LCM(64790,64805) = ( 64790 × 64805) / 5
LCM(64790,64805) = 4198715950 / 5
LCM(64790,64805) = 839743190

Least Common Multiple (LCM) of 64790 and 64805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64790 and 64805. First we will calculate the prime factors of 64790 and 64805.

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

Prime Factorization of 64805

Prime factors of 64805 are 5, 13, 997. Prime factorization of 64805 in exponential form is:

64805 = 51 × 131 × 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 64790 and 64805.

LCM(64790,64805) = 21 × 51 × 111 × 191 × 311 × 131 × 9971
LCM(64790,64805) = 839743190