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What is the Least Common Multiple of 64101 and 64112?

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 64101 and 64112 is 4109643312.

LCM(64101,64112) = 4109643312

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Least Common Multiple of 64101 and 64112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64101 and 64112, than apply into the LCM equation.

GCF(64101,64112) = 1
LCM(64101,64112) = ( 64101 × 64112) / 1
LCM(64101,64112) = 4109643312 / 1
LCM(64101,64112) = 4109643312

Least Common Multiple (LCM) of 64101 and 64112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64101 and 64112. First we will calculate the prime factors of 64101 and 64112.

Prime Factorization of 64101

Prime factors of 64101 are 3, 23, 929. Prime factorization of 64101 in exponential form is:

64101 = 31 × 231 × 9291

Prime Factorization of 64112

Prime factors of 64112 are 2, 4007. Prime factorization of 64112 in exponential form is:

64112 = 24 × 40071

Now multiplying the highest exponent prime factors to calculate the LCM of 64101 and 64112.

LCM(64101,64112) = 31 × 231 × 9291 × 24 × 40071
LCM(64101,64112) = 4109643312