What is the Least Common Multiple of 5904 and 5920?

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 5904 and 5920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5904 and 5920, than apply into the LCM equation.

GCF(5904,5920) = 16
LCM(5904,5920) = ( 5904 × 5920) / 16
LCM(5904,5920) = 34951680 / 16
LCM(5904,5920) = 2184480

Least Common Multiple (LCM) of 5904 and 5920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5904 and 5920. First we will calculate the prime factors of 5904 and 5920.

Prime Factorization of 5904

Prime Factorization of 5920

Now multiplying the highest exponent prime factors to calculate the LCM of 5904 and 5920.

LCM(5904,5920) = 2⁵ × 3² × 41¹ × 5¹ × 37¹
LCM(5904,5920) = 2184480