What is the Least Common Multiple of 6904 and 6924?

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 6904 and 6924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6904 and 6924, than apply into the LCM equation.

GCF(6904,6924) = 4
LCM(6904,6924) = ( 6904 × 6924) / 4
LCM(6904,6924) = 47803296 / 4
LCM(6904,6924) = 11950824

Least Common Multiple (LCM) of 6904 and 6924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6904 and 6924. First we will calculate the prime factors of 6904 and 6924.

Prime Factorization of 6904

Prime Factorization of 6924

Now multiplying the highest exponent prime factors to calculate the LCM of 6904 and 6924.

LCM(6904,6924) = 2³ × 863¹ × 3¹ × 577¹
LCM(6904,6924) = 11950824