What is the Least Common Multiple of 79800 and 79812?

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 79800 and 79812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79800 and 79812, than apply into the LCM equation.

GCF(79800,79812) = 12
LCM(79800,79812) = ( 79800 × 79812) / 12
LCM(79800,79812) = 6368997600 / 12
LCM(79800,79812) = 530749800

Least Common Multiple (LCM) of 79800 and 79812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79800 and 79812. First we will calculate the prime factors of 79800 and 79812.

Prime Factorization of 79800

Prime Factorization of 79812

Now multiplying the highest exponent prime factors to calculate the LCM of 79800 and 79812.

LCM(79800,79812) = 2³ × 3³ × 5² × 7¹ × 19¹ × 739¹
LCM(79800,79812) = 530749800