What is the Least Common Multiple of 79116 and 79135?

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 79135 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 79135, than apply into the LCM equation.

GCF(79116,79135) = 19
LCM(79116,79135) = ( 79116 × 79135) / 19
LCM(79116,79135) = 6260844660 / 19
LCM(79116,79135) = 329518140

Least Common Multiple (LCM) of 79116 and 79135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79116 and 79135. First we will calculate the prime factors of 79116 and 79135.

Prime Factorization of 79116

Prime Factorization of 79135

Now multiplying the highest exponent prime factors to calculate the LCM of 79116 and 79135.

LCM(79116,79135) = 2² × 3¹ × 19¹ × 347¹ × 5¹ × 7² × 17¹
LCM(79116,79135) = 329518140