What is the Least Common Multiple of 22056 and 22069?

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 22069 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 22069, than apply into the LCM equation.

GCF(22056,22069) = 1
LCM(22056,22069) = ( 22056 × 22069) / 1
LCM(22056,22069) = 486753864 / 1
LCM(22056,22069) = 486753864

Least Common Multiple (LCM) of 22056 and 22069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22056 and 22069. First we will calculate the prime factors of 22056 and 22069.

Prime Factorization of 22056

Prime Factorization of 22069

Now multiplying the highest exponent prime factors to calculate the LCM of 22056 and 22069.

LCM(22056,22069) = 2³ × 3¹ × 919¹ × 29¹ × 761¹
LCM(22056,22069) = 486753864