What is the Least Common Multiple of 79904 and 79915?

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 79904 and 79915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79904 and 79915, than apply into the LCM equation.

GCF(79904,79915) = 11
LCM(79904,79915) = ( 79904 × 79915) / 11
LCM(79904,79915) = 6385528160 / 11
LCM(79904,79915) = 580502560

Least Common Multiple (LCM) of 79904 and 79915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79904 and 79915. First we will calculate the prime factors of 79904 and 79915.

Prime Factorization of 79904

Prime Factorization of 79915

Now multiplying the highest exponent prime factors to calculate the LCM of 79904 and 79915.

LCM(79904,79915) = 2⁵ × 11¹ × 227¹ × 5¹ × 1453¹
LCM(79904,79915) = 580502560