What is the Least Common Multiple of 64548 and 64557?

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 64548 and 64557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64548 and 64557, than apply into the LCM equation.

GCF(64548,64557) = 9
LCM(64548,64557) = ( 64548 × 64557) / 9
LCM(64548,64557) = 4167025236 / 9
LCM(64548,64557) = 463002804

Least Common Multiple (LCM) of 64548 and 64557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64548 and 64557. First we will calculate the prime factors of 64548 and 64557.

Prime Factorization of 64548

Prime Factorization of 64557

Now multiplying the highest exponent prime factors to calculate the LCM of 64548 and 64557.

LCM(64548,64557) = 2² × 3⁴ × 11¹ × 163¹ × 797¹
LCM(64548,64557) = 463002804