What is the Least Common Multiple of 22044 and 22056?

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 22044 and 22056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22044 and 22056, than apply into the LCM equation.

GCF(22044,22056) = 12
LCM(22044,22056) = ( 22044 × 22056) / 12
LCM(22044,22056) = 486202464 / 12
LCM(22044,22056) = 40516872

Least Common Multiple (LCM) of 22044 and 22056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22044 and 22056. First we will calculate the prime factors of 22044 and 22056.

Prime Factorization of 22044

Prime Factorization of 22056

Now multiplying the highest exponent prime factors to calculate the LCM of 22044 and 22056.

LCM(22044,22056) = 2³ × 3¹ × 11¹ × 167¹ × 919¹
LCM(22044,22056) = 40516872