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What is the Least Common Multiple of 64143 and 64152?

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 64143 and 64152 is 457211304.

LCM(64143,64152) = 457211304

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Least Common Multiple of 64143 and 64152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64143 and 64152, than apply into the LCM equation.

GCF(64143,64152) = 9
LCM(64143,64152) = ( 64143 × 64152) / 9
LCM(64143,64152) = 4114901736 / 9
LCM(64143,64152) = 457211304

Least Common Multiple (LCM) of 64143 and 64152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64143 and 64152. First we will calculate the prime factors of 64143 and 64152.

Prime Factorization of 64143

Prime factors of 64143 are 3, 7127. Prime factorization of 64143 in exponential form is:

64143 = 32 × 71271

Prime Factorization of 64152

Prime factors of 64152 are 2, 3, 11. Prime factorization of 64152 in exponential form is:

64152 = 23 × 36 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 64143 and 64152.

LCM(64143,64152) = 36 × 71271 × 23 × 111
LCM(64143,64152) = 457211304