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What is the Least Common Multiple of 64276 and 64290?

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 64276 and 64290 is 2066152020.

LCM(64276,64290) = 2066152020

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Least Common Multiple of 64276 and 64290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64276 and 64290, than apply into the LCM equation.

GCF(64276,64290) = 2
LCM(64276,64290) = ( 64276 × 64290) / 2
LCM(64276,64290) = 4132304040 / 2
LCM(64276,64290) = 2066152020

Least Common Multiple (LCM) of 64276 and 64290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64276 and 64290. First we will calculate the prime factors of 64276 and 64290.

Prime Factorization of 64276

Prime factors of 64276 are 2, 16069. Prime factorization of 64276 in exponential form is:

64276 = 22 × 160691

Prime Factorization of 64290

Prime factors of 64290 are 2, 3, 5, 2143. Prime factorization of 64290 in exponential form is:

64290 = 21 × 31 × 51 × 21431

Now multiplying the highest exponent prime factors to calculate the LCM of 64276 and 64290.

LCM(64276,64290) = 22 × 160691 × 31 × 51 × 21431
LCM(64276,64290) = 2066152020