What is the Least Common Multiple of 22941 and 22947?

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 22941 and 22947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22941 and 22947, than apply into the LCM equation.

GCF(22941,22947) = 3
LCM(22941,22947) = ( 22941 × 22947) / 3
LCM(22941,22947) = 526427127 / 3
LCM(22941,22947) = 175475709

Least Common Multiple (LCM) of 22941 and 22947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22941 and 22947. First we will calculate the prime factors of 22941 and 22947.

Prime Factorization of 22941

Prime Factorization of 22947

Now multiplying the highest exponent prime factors to calculate the LCM of 22941 and 22947.

LCM(22941,22947) = 3² × 2549¹ × 7649¹
LCM(22941,22947) = 175475709