What is the Least Common Multiple of 22668 and 22677?

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 22668 and 22677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22668 and 22677, than apply into the LCM equation.

GCF(22668,22677) = 3
LCM(22668,22677) = ( 22668 × 22677) / 3
LCM(22668,22677) = 514042236 / 3
LCM(22668,22677) = 171347412

Least Common Multiple (LCM) of 22668 and 22677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22668 and 22677. First we will calculate the prime factors of 22668 and 22677.

Prime Factorization of 22668

Prime Factorization of 22677

Now multiplying the highest exponent prime factors to calculate the LCM of 22668 and 22677.

LCM(22668,22677) = 2² × 3¹ × 1889¹ × 7559¹
LCM(22668,22677) = 171347412