What is the Least Common Multiple of 79859 and 79876?

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 79859 and 79876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79859 and 79876, than apply into the LCM equation.

GCF(79859,79876) = 1
LCM(79859,79876) = ( 79859 × 79876) / 1
LCM(79859,79876) = 6378817484 / 1
LCM(79859,79876) = 6378817484

Least Common Multiple (LCM) of 79859 and 79876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79859 and 79876. First we will calculate the prime factors of 79859 and 79876.

Prime Factorization of 79859

Prime Factorization of 79876

Now multiplying the highest exponent prime factors to calculate the LCM of 79859 and 79876.

LCM(79859,79876) = 13¹ × 6143¹ × 2² × 19¹ × 1051¹
LCM(79859,79876) = 6378817484