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What is the Least Common Multiple of 64996 and 65006?

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 64996 and 65006 is 2112564988.

LCM(64996,65006) = 2112564988

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Least Common Multiple of 64996 and 65006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64996 and 65006, than apply into the LCM equation.

GCF(64996,65006) = 2
LCM(64996,65006) = ( 64996 × 65006) / 2
LCM(64996,65006) = 4225129976 / 2
LCM(64996,65006) = 2112564988

Least Common Multiple (LCM) of 64996 and 65006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64996 and 65006. First we will calculate the prime factors of 64996 and 65006.

Prime Factorization of 64996

Prime factors of 64996 are 2, 16249. Prime factorization of 64996 in exponential form is:

64996 = 22 × 162491

Prime Factorization of 65006

Prime factors of 65006 are 2, 32503. Prime factorization of 65006 in exponential form is:

65006 = 21 × 325031

Now multiplying the highest exponent prime factors to calculate the LCM of 64996 and 65006.

LCM(64996,65006) = 22 × 162491 × 325031
LCM(64996,65006) = 2112564988