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What is the Least Common Multiple of 64634 and 64650?

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 64634 and 64650 is 2089294050.

LCM(64634,64650) = 2089294050

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Least Common Multiple of 64634 and 64650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64634 and 64650, than apply into the LCM equation.

GCF(64634,64650) = 2
LCM(64634,64650) = ( 64634 × 64650) / 2
LCM(64634,64650) = 4178588100 / 2
LCM(64634,64650) = 2089294050

Least Common Multiple (LCM) of 64634 and 64650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64634 and 64650. First we will calculate the prime factors of 64634 and 64650.

Prime Factorization of 64634

Prime factors of 64634 are 2, 17, 1901. Prime factorization of 64634 in exponential form is:

64634 = 21 × 171 × 19011

Prime Factorization of 64650

Prime factors of 64650 are 2, 3, 5, 431. Prime factorization of 64650 in exponential form is:

64650 = 21 × 31 × 52 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 64634 and 64650.

LCM(64634,64650) = 21 × 171 × 19011 × 31 × 52 × 4311
LCM(64634,64650) = 2089294050