What is the Least Common Multiple of 87904 and 87916?

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 87904 and 87916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87904 and 87916, than apply into the LCM equation.

GCF(87904,87916) = 4
LCM(87904,87916) = ( 87904 × 87916) / 4
LCM(87904,87916) = 7728168064 / 4
LCM(87904,87916) = 1932042016

Least Common Multiple (LCM) of 87904 and 87916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87904 and 87916. First we will calculate the prime factors of 87904 and 87916.

Prime Factorization of 87904

Prime Factorization of 87916

Now multiplying the highest exponent prime factors to calculate the LCM of 87904 and 87916.

LCM(87904,87916) = 2⁵ × 41¹ × 67¹ × 31¹ × 709¹
LCM(87904,87916) = 1932042016