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What is the Least Common Multiple of 64630 and 64635?

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 64630 and 64635 is 835472010.

LCM(64630,64635) = 835472010

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Least Common Multiple of 64630 and 64635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64630 and 64635, than apply into the LCM equation.

GCF(64630,64635) = 5
LCM(64630,64635) = ( 64630 × 64635) / 5
LCM(64630,64635) = 4177360050 / 5
LCM(64630,64635) = 835472010

Least Common Multiple (LCM) of 64630 and 64635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64630 and 64635. First we will calculate the prime factors of 64630 and 64635.

Prime Factorization of 64630

Prime factors of 64630 are 2, 5, 23, 281. Prime factorization of 64630 in exponential form is:

64630 = 21 × 51 × 231 × 2811

Prime Factorization of 64635

Prime factors of 64635 are 3, 5, 31, 139. Prime factorization of 64635 in exponential form is:

64635 = 31 × 51 × 311 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 64630 and 64635.

LCM(64630,64635) = 21 × 51 × 231 × 2811 × 31 × 311 × 1391
LCM(64630,64635) = 835472010