What is the Least Common Multiple of 79116 and 79133?

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 79116 and 79133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79116 and 79133, than apply into the LCM equation.

GCF(79116,79133) = 1
LCM(79116,79133) = ( 79116 × 79133) / 1
LCM(79116,79133) = 6260686428 / 1
LCM(79116,79133) = 6260686428

Least Common Multiple (LCM) of 79116 and 79133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79116 and 79133. First we will calculate the prime factors of 79116 and 79133.

Prime Factorization of 79116

Prime Factorization of 79133

Now multiplying the highest exponent prime factors to calculate the LCM of 79116 and 79133.

LCM(79116,79133) = 2² × 3¹ × 19¹ × 347¹ × 79133¹
LCM(79116,79133) = 6260686428