What is the Least Common Multiple of 64506 and 64512?

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 64506 and 64512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64506 and 64512, than apply into the LCM equation.

GCF(64506,64512) = 6
LCM(64506,64512) = ( 64506 × 64512) / 6
LCM(64506,64512) = 4161411072 / 6
LCM(64506,64512) = 693568512

Least Common Multiple (LCM) of 64506 and 64512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64506 and 64512. First we will calculate the prime factors of 64506 and 64512.

Prime Factorization of 64506

Prime Factorization of 64512

Now multiplying the highest exponent prime factors to calculate the LCM of 64506 and 64512.

LCM(64506,64512) = 2¹⁰ × 3² × 13¹ × 827¹ × 7¹
LCM(64506,64512) = 693568512