What is the Least Common Multiple of 79504 and 79520?

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 79504 and 79520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79504 and 79520, than apply into the LCM equation.

GCF(79504,79520) = 16
LCM(79504,79520) = ( 79504 × 79520) / 16
LCM(79504,79520) = 6322158080 / 16
LCM(79504,79520) = 395134880

Least Common Multiple (LCM) of 79504 and 79520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79504 and 79520. First we will calculate the prime factors of 79504 and 79520.

Prime Factorization of 79504

Prime Factorization of 79520

Now multiplying the highest exponent prime factors to calculate the LCM of 79504 and 79520.

LCM(79504,79520) = 2⁵ × 4969¹ × 5¹ × 7¹ × 71¹
LCM(79504,79520) = 395134880