What is the Least Common Multiple of 79500 and 79506?

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 79500 and 79506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79500 and 79506, than apply into the LCM equation.

GCF(79500,79506) = 6
LCM(79500,79506) = ( 79500 × 79506) / 6
LCM(79500,79506) = 6320727000 / 6
LCM(79500,79506) = 1053454500

Least Common Multiple (LCM) of 79500 and 79506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79500 and 79506. First we will calculate the prime factors of 79500 and 79506.

Prime Factorization of 79500

Prime Factorization of 79506

Now multiplying the highest exponent prime factors to calculate the LCM of 79500 and 79506.

LCM(79500,79506) = 2² × 3² × 5³ × 53¹ × 7¹ × 631¹
LCM(79500,79506) = 1053454500