What is the Least Common Multiple of 40044 and 40056?

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 40044 and 40056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40044 and 40056, than apply into the LCM equation.

GCF(40044,40056) = 12
LCM(40044,40056) = ( 40044 × 40056) / 12
LCM(40044,40056) = 1604002464 / 12
LCM(40044,40056) = 133666872

Least Common Multiple (LCM) of 40044 and 40056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40044 and 40056. First we will calculate the prime factors of 40044 and 40056.

Prime Factorization of 40044

Prime Factorization of 40056

Now multiplying the highest exponent prime factors to calculate the LCM of 40044 and 40056.

LCM(40044,40056) = 2³ × 3¹ × 47¹ × 71¹ × 1669¹
LCM(40044,40056) = 133666872