What is the Least Common Multiple of 79104 and 79120?

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 79120 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 79120, than apply into the LCM equation.

GCF(79104,79120) = 16
LCM(79104,79120) = ( 79104 × 79120) / 16
LCM(79104,79120) = 6258708480 / 16
LCM(79104,79120) = 391169280

Least Common Multiple (LCM) of 79104 and 79120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79104 and 79120. First we will calculate the prime factors of 79104 and 79120.

Prime Factorization of 79104

Prime Factorization of 79120

Now multiplying the highest exponent prime factors to calculate the LCM of 79104 and 79120.

LCM(79104,79120) = 2⁸ × 3¹ × 103¹ × 5¹ × 23¹ × 43¹
LCM(79104,79120) = 391169280