What is the Least Common Multiple of 79875 and 79882?

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 79875 and 79882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79875 and 79882, than apply into the LCM equation.

GCF(79875,79882) = 1
LCM(79875,79882) = ( 79875 × 79882) / 1
LCM(79875,79882) = 6380574750 / 1
LCM(79875,79882) = 6380574750

Least Common Multiple (LCM) of 79875 and 79882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79875 and 79882. First we will calculate the prime factors of 79875 and 79882.

Prime Factorization of 79875

Prime Factorization of 79882

Now multiplying the highest exponent prime factors to calculate the LCM of 79875 and 79882.

LCM(79875,79882) = 3² × 5³ × 71¹ × 2¹ × 11¹ × 3631¹
LCM(79875,79882) = 6380574750