What is the Least Common Multiple of 79112 and 79128?

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 79112 and 79128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79112 and 79128, than apply into the LCM equation.

GCF(79112,79128) = 8
LCM(79112,79128) = ( 79112 × 79128) / 8
LCM(79112,79128) = 6259974336 / 8
LCM(79112,79128) = 782496792

Least Common Multiple (LCM) of 79112 and 79128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79112 and 79128. First we will calculate the prime factors of 79112 and 79128.

Prime Factorization of 79112

Prime Factorization of 79128

Now multiplying the highest exponent prime factors to calculate the LCM of 79112 and 79128.

LCM(79112,79128) = 2³ × 11¹ × 29¹ × 31¹ × 3² × 7¹ × 157¹
LCM(79112,79128) = 782496792