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What is the Least Common Multiple of 64971 and 64985?

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 64971 and 64985 is 4222140435.

LCM(64971,64985) = 4222140435

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Least Common Multiple of 64971 and 64985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64971 and 64985, than apply into the LCM equation.

GCF(64971,64985) = 1
LCM(64971,64985) = ( 64971 × 64985) / 1
LCM(64971,64985) = 4222140435 / 1
LCM(64971,64985) = 4222140435

Least Common Multiple (LCM) of 64971 and 64985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64971 and 64985. First we will calculate the prime factors of 64971 and 64985.

Prime Factorization of 64971

Prime factors of 64971 are 3, 7219. Prime factorization of 64971 in exponential form is:

64971 = 32 × 72191

Prime Factorization of 64985

Prime factors of 64985 are 5, 41, 317. Prime factorization of 64985 in exponential form is:

64985 = 51 × 411 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 64971 and 64985.

LCM(64971,64985) = 32 × 72191 × 51 × 411 × 3171
LCM(64971,64985) = 4222140435