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What is the Least Common Multiple of 64527 and 64545?

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 64527 and 64545 is 1388298405.

LCM(64527,64545) = 1388298405

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Least Common Multiple of 64527 and 64545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64527 and 64545, than apply into the LCM equation.

GCF(64527,64545) = 3
LCM(64527,64545) = ( 64527 × 64545) / 3
LCM(64527,64545) = 4164895215 / 3
LCM(64527,64545) = 1388298405

Least Common Multiple (LCM) of 64527 and 64545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64527 and 64545. First we will calculate the prime factors of 64527 and 64545.

Prime Factorization of 64527

Prime factors of 64527 are 3, 137, 157. Prime factorization of 64527 in exponential form is:

64527 = 31 × 1371 × 1571

Prime Factorization of 64545

Prime factors of 64545 are 3, 5, 13, 331. Prime factorization of 64545 in exponential form is:

64545 = 31 × 51 × 131 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 64527 and 64545.

LCM(64527,64545) = 31 × 1371 × 1571 × 51 × 131 × 3311
LCM(64527,64545) = 1388298405