What is the Least Common Multiple of 79785 and 79800?

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 79785 and 79800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79785 and 79800, than apply into the LCM equation.

GCF(79785,79800) = 15
LCM(79785,79800) = ( 79785 × 79800) / 15
LCM(79785,79800) = 6366843000 / 15
LCM(79785,79800) = 424456200

Least Common Multiple (LCM) of 79785 and 79800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79785 and 79800. First we will calculate the prime factors of 79785 and 79800.

Prime Factorization of 79785

Prime Factorization of 79800

Now multiplying the highest exponent prime factors to calculate the LCM of 79785 and 79800.

LCM(79785,79800) = 3⁴ × 5² × 197¹ × 2³ × 7¹ × 19¹
LCM(79785,79800) = 424456200