What is the Least Common Multiple of 64550 and 64569?

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 64550 and 64569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64550 and 64569, than apply into the LCM equation.

GCF(64550,64569) = 1
LCM(64550,64569) = ( 64550 × 64569) / 1
LCM(64550,64569) = 4167928950 / 1
LCM(64550,64569) = 4167928950

Least Common Multiple (LCM) of 64550 and 64569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64550 and 64569. First we will calculate the prime factors of 64550 and 64569.

Prime Factorization of 64550

Prime Factorization of 64569

Now multiplying the highest exponent prime factors to calculate the LCM of 64550 and 64569.

LCM(64550,64569) = 2¹ × 5² × 1291¹ × 3¹ × 21523¹
LCM(64550,64569) = 4167928950