What is the Least Common Multiple of 79788 and 79806?

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 79788 and 79806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79788 and 79806, than apply into the LCM equation.

GCF(79788,79806) = 6
LCM(79788,79806) = ( 79788 × 79806) / 6
LCM(79788,79806) = 6367561128 / 6
LCM(79788,79806) = 1061260188

Least Common Multiple (LCM) of 79788 and 79806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79788 and 79806. First we will calculate the prime factors of 79788 and 79806.

Prime Factorization of 79788

Prime Factorization of 79806

Now multiplying the highest exponent prime factors to calculate the LCM of 79788 and 79806.

LCM(79788,79806) = 2² × 3¹ × 61¹ × 109¹ × 47¹ × 283¹
LCM(79788,79806) = 1061260188