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What is the Least Common Multiple of 64482 and 64502?

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 64482 and 64502 is 2079608982.

LCM(64482,64502) = 2079608982

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Least Common Multiple of 64482 and 64502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64482 and 64502, than apply into the LCM equation.

GCF(64482,64502) = 2
LCM(64482,64502) = ( 64482 × 64502) / 2
LCM(64482,64502) = 4159217964 / 2
LCM(64482,64502) = 2079608982

Least Common Multiple (LCM) of 64482 and 64502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64482 and 64502. First we will calculate the prime factors of 64482 and 64502.

Prime Factorization of 64482

Prime factors of 64482 are 2, 3, 11, 977. Prime factorization of 64482 in exponential form is:

64482 = 21 × 31 × 111 × 9771

Prime Factorization of 64502

Prime factors of 64502 are 2, 32251. Prime factorization of 64502 in exponential form is:

64502 = 21 × 322511

Now multiplying the highest exponent prime factors to calculate the LCM of 64482 and 64502.

LCM(64482,64502) = 21 × 31 × 111 × 9771 × 322511
LCM(64482,64502) = 2079608982