What is the Least Common Multiple of 79119 and 79137?

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 79119 and 79137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79119 and 79137, than apply into the LCM equation.

GCF(79119,79137) = 9
LCM(79119,79137) = ( 79119 × 79137) / 9
LCM(79119,79137) = 6261240303 / 9
LCM(79119,79137) = 695693367

Least Common Multiple (LCM) of 79119 and 79137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79119 and 79137. First we will calculate the prime factors of 79119 and 79137.

Prime Factorization of 79119

Prime Factorization of 79137

Now multiplying the highest exponent prime factors to calculate the LCM of 79119 and 79137.

LCM(79119,79137) = 3⁴ × 59¹ × 149¹ × 977¹
LCM(79119,79137) = 695693367