What is the Least Common Multiple of 79146 and 79152?

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 79146 and 79152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79146 and 79152, than apply into the LCM equation.

GCF(79146,79152) = 6
LCM(79146,79152) = ( 79146 × 79152) / 6
LCM(79146,79152) = 6264564192 / 6
LCM(79146,79152) = 1044094032

Least Common Multiple (LCM) of 79146 and 79152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79146 and 79152. First we will calculate the prime factors of 79146 and 79152.

Prime Factorization of 79146

Prime Factorization of 79152

Now multiplying the highest exponent prime factors to calculate the LCM of 79146 and 79152.

LCM(79146,79152) = 2⁴ × 3² × 4397¹ × 17¹ × 97¹
LCM(79146,79152) = 1044094032