What is the Least Common Multiple of 79140 and 79146?

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 79140 and 79146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79140 and 79146, than apply into the LCM equation.

GCF(79140,79146) = 6
LCM(79140,79146) = ( 79140 × 79146) / 6
LCM(79140,79146) = 6263614440 / 6
LCM(79140,79146) = 1043935740

Least Common Multiple (LCM) of 79140 and 79146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79140 and 79146. First we will calculate the prime factors of 79140 and 79146.

Prime Factorization of 79140

Prime Factorization of 79146

Now multiplying the highest exponent prime factors to calculate the LCM of 79140 and 79146.

LCM(79140,79146) = 2² × 3² × 5¹ × 1319¹ × 4397¹
LCM(79140,79146) = 1043935740