What is the Least Common Multiple of 32500 and 32506?

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 32500 and 32506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32500 and 32506, than apply into the LCM equation.

GCF(32500,32506) = 2
LCM(32500,32506) = ( 32500 × 32506) / 2
LCM(32500,32506) = 1056445000 / 2
LCM(32500,32506) = 528222500

Least Common Multiple (LCM) of 32500 and 32506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32500 and 32506. First we will calculate the prime factors of 32500 and 32506.

Prime Factorization of 32500

Prime Factorization of 32506

Now multiplying the highest exponent prime factors to calculate the LCM of 32500 and 32506.

LCM(32500,32506) = 2² × 5⁴ × 13¹ × 16253¹
LCM(32500,32506) = 528222500