What is the Least Common Multiple of 8904 and 8918?

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 8904 and 8918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8904 and 8918, than apply into the LCM equation.

GCF(8904,8918) = 14
LCM(8904,8918) = ( 8904 × 8918) / 14
LCM(8904,8918) = 79405872 / 14
LCM(8904,8918) = 5671848

Least Common Multiple (LCM) of 8904 and 8918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8904 and 8918. First we will calculate the prime factors of 8904 and 8918.

Prime Factorization of 8904

Prime Factorization of 8918

Now multiplying the highest exponent prime factors to calculate the LCM of 8904 and 8918.

LCM(8904,8918) = 2³ × 3¹ × 7³ × 53¹ × 13¹
LCM(8904,8918) = 5671848