What is the Least Common Multiple of 64500 and 64506?

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 64500 and 64506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64500 and 64506, than apply into the LCM equation.

GCF(64500,64506) = 6
LCM(64500,64506) = ( 64500 × 64506) / 6
LCM(64500,64506) = 4160637000 / 6
LCM(64500,64506) = 693439500

Least Common Multiple (LCM) of 64500 and 64506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64500 and 64506. First we will calculate the prime factors of 64500 and 64506.

Prime Factorization of 64500

Prime Factorization of 64506

Now multiplying the highest exponent prime factors to calculate the LCM of 64500 and 64506.

LCM(64500,64506) = 2² × 3¹ × 5³ × 43¹ × 13¹ × 827¹
LCM(64500,64506) = 693439500