What is the Least Common Multiple of 64569 and 64587?

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 of 64569 and 64587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64569 and 64587, than apply into the LCM equation.

GCF(64569,64587) = 3
LCM(64569,64587) = ( 64569 × 64587) / 3
LCM(64569,64587) = 4170318003 / 3
LCM(64569,64587) = 1390106001

Least Common Multiple (LCM) of 64569 and 64587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64569 and 64587. First we will calculate the prime factors of 64569 and 64587.

Prime Factorization of 64569

Prime Factorization of 64587

Now multiplying the highest exponent prime factors to calculate the LCM of 64569 and 64587.

LCM(64569,64587) = 3¹ × 21523¹ × 21529¹
LCM(64569,64587) = 1390106001