What is the Least Common Multiple of 79264 and 79280?

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 79264 and 79280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79264 and 79280, than apply into the LCM equation.

GCF(79264,79280) = 16
LCM(79264,79280) = ( 79264 × 79280) / 16
LCM(79264,79280) = 6284049920 / 16
LCM(79264,79280) = 392753120

Least Common Multiple (LCM) of 79264 and 79280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79264 and 79280. First we will calculate the prime factors of 79264 and 79280.

Prime Factorization of 79264

Prime Factorization of 79280

Now multiplying the highest exponent prime factors to calculate the LCM of 79264 and 79280.

LCM(79264,79280) = 2⁵ × 2477¹ × 5¹ × 991¹
LCM(79264,79280) = 392753120