What is the Least Common Multiple of 40896 and 40912?

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 40896 and 40912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40896 and 40912, than apply into the LCM equation.

GCF(40896,40912) = 16
LCM(40896,40912) = ( 40896 × 40912) / 16
LCM(40896,40912) = 1673137152 / 16
LCM(40896,40912) = 104571072

Least Common Multiple (LCM) of 40896 and 40912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40896 and 40912. First we will calculate the prime factors of 40896 and 40912.

Prime Factorization of 40896

Prime Factorization of 40912

Now multiplying the highest exponent prime factors to calculate the LCM of 40896 and 40912.

LCM(40896,40912) = 2⁶ × 3² × 71¹ × 2557¹
LCM(40896,40912) = 104571072