What is the Least Common Multiple of 22056 and 22074?

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 22056 and 22074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22056 and 22074, than apply into the LCM equation.

GCF(22056,22074) = 6
LCM(22056,22074) = ( 22056 × 22074) / 6
LCM(22056,22074) = 486864144 / 6
LCM(22056,22074) = 81144024

Least Common Multiple (LCM) of 22056 and 22074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22056 and 22074. First we will calculate the prime factors of 22056 and 22074.

Prime Factorization of 22056

Prime Factorization of 22074

Now multiplying the highest exponent prime factors to calculate the LCM of 22056 and 22074.

LCM(22056,22074) = 2³ × 3¹ × 919¹ × 13¹ × 283¹
LCM(22056,22074) = 81144024