What is the Least Common Multiple of 8904 and 8919?

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 8919 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 8919, than apply into the LCM equation.

GCF(8904,8919) = 3
LCM(8904,8919) = ( 8904 × 8919) / 3
LCM(8904,8919) = 79414776 / 3
LCM(8904,8919) = 26471592

Least Common Multiple (LCM) of 8904 and 8919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8904 and 8919. First we will calculate the prime factors of 8904 and 8919.

Prime Factorization of 8904

Prime Factorization of 8919

Now multiplying the highest exponent prime factors to calculate the LCM of 8904 and 8919.

LCM(8904,8919) = 2³ × 3² × 7¹ × 53¹ × 991¹
LCM(8904,8919) = 26471592