What is the Least Common Multiple of 64515 and 64533?

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 64515 and 64533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64515 and 64533, than apply into the LCM equation.

GCF(64515,64533) = 3
LCM(64515,64533) = ( 64515 × 64533) / 3
LCM(64515,64533) = 4163346495 / 3
LCM(64515,64533) = 1387782165

Least Common Multiple (LCM) of 64515 and 64533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64515 and 64533. First we will calculate the prime factors of 64515 and 64533.

Prime Factorization of 64515

Prime Factorization of 64533

Now multiplying the highest exponent prime factors to calculate the LCM of 64515 and 64533.

LCM(64515,64533) = 3¹ × 5¹ × 11¹ × 17¹ × 23¹ × 7² × 439¹
LCM(64515,64533) = 1387782165