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What is the Least Common Multiple of 64885 and 64900?

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 64885 and 64900 is 842207300.

LCM(64885,64900) = 842207300

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Least Common Multiple of 64885 and 64900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64885 and 64900, than apply into the LCM equation.

GCF(64885,64900) = 5
LCM(64885,64900) = ( 64885 × 64900) / 5
LCM(64885,64900) = 4211036500 / 5
LCM(64885,64900) = 842207300

Least Common Multiple (LCM) of 64885 and 64900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64885 and 64900. First we will calculate the prime factors of 64885 and 64900.

Prime Factorization of 64885

Prime factors of 64885 are 5, 19, 683. Prime factorization of 64885 in exponential form is:

64885 = 51 × 191 × 6831

Prime Factorization of 64900

Prime factors of 64900 are 2, 5, 11, 59. Prime factorization of 64900 in exponential form is:

64900 = 22 × 52 × 111 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 64885 and 64900.

LCM(64885,64900) = 52 × 191 × 6831 × 22 × 111 × 591
LCM(64885,64900) = 842207300