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What is the Least Common Multiple of 64240 and 64252?

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 64240 and 64252 is 1031887120.

LCM(64240,64252) = 1031887120

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Least Common Multiple of 64240 and 64252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64240 and 64252, than apply into the LCM equation.

GCF(64240,64252) = 4
LCM(64240,64252) = ( 64240 × 64252) / 4
LCM(64240,64252) = 4127548480 / 4
LCM(64240,64252) = 1031887120

Least Common Multiple (LCM) of 64240 and 64252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64240 and 64252. First we will calculate the prime factors of 64240 and 64252.

Prime Factorization of 64240

Prime factors of 64240 are 2, 5, 11, 73. Prime factorization of 64240 in exponential form is:

64240 = 24 × 51 × 111 × 731

Prime Factorization of 64252

Prime factors of 64252 are 2, 16063. Prime factorization of 64252 in exponential form is:

64252 = 22 × 160631

Now multiplying the highest exponent prime factors to calculate the LCM of 64240 and 64252.

LCM(64240,64252) = 24 × 51 × 111 × 731 × 160631
LCM(64240,64252) = 1031887120