What is the Least Common Multiple of 904 and 924?

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 904 and 924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 904 and 924, than apply into the LCM equation.

GCF(904,924) = 4
LCM(904,924) = ( 904 × 924) / 4
LCM(904,924) = 835296 / 4
LCM(904,924) = 208824

Least Common Multiple (LCM) of 904 and 924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 904 and 924. First we will calculate the prime factors of 904 and 924.

Prime Factorization of 904

Prime Factorization of 924

Now multiplying the highest exponent prime factors to calculate the LCM of 904 and 924.

LCM(904,924) = 2³ × 113¹ × 3¹ × 7¹ × 11¹
LCM(904,924) = 208824