What is the Least Common Multiple of 79104 and 79112?

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 79104 and 79112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79104 and 79112, than apply into the LCM equation.

GCF(79104,79112) = 8
LCM(79104,79112) = ( 79104 × 79112) / 8
LCM(79104,79112) = 6258075648 / 8
LCM(79104,79112) = 782259456

Least Common Multiple (LCM) of 79104 and 79112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79104 and 79112. First we will calculate the prime factors of 79104 and 79112.

Prime Factorization of 79104

Prime Factorization of 79112

Now multiplying the highest exponent prime factors to calculate the LCM of 79104 and 79112.

LCM(79104,79112) = 2⁸ × 3¹ × 103¹ × 11¹ × 29¹ × 31¹
LCM(79104,79112) = 782259456