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What is the Least Common Multiple of 64996 and 65007?

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 65007 is 4225194972.

LCM(64996,65007) = 4225194972

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Least Common Multiple of 64996 and 65007 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 65007, than apply into the LCM equation.

GCF(64996,65007) = 1
LCM(64996,65007) = ( 64996 × 65007) / 1
LCM(64996,65007) = 4225194972 / 1
LCM(64996,65007) = 4225194972

Least Common Multiple (LCM) of 64996 and 65007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64996 and 65007. First we will calculate the prime factors of 64996 and 65007.

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 65007

Prime factors of 65007 are 3, 31, 233. Prime factorization of 65007 in exponential form is:

65007 = 32 × 311 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 64996 and 65007.

LCM(64996,65007) = 22 × 162491 × 32 × 311 × 2331
LCM(64996,65007) = 4225194972