What is the Least Common Multiple of 22971 and 22983?

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 22971 and 22983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22971 and 22983, than apply into the LCM equation.

GCF(22971,22983) = 3
LCM(22971,22983) = ( 22971 × 22983) / 3
LCM(22971,22983) = 527942493 / 3
LCM(22971,22983) = 175980831

Least Common Multiple (LCM) of 22971 and 22983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22971 and 22983. First we will calculate the prime factors of 22971 and 22983.

Prime Factorization of 22971

Prime Factorization of 22983

Now multiplying the highest exponent prime factors to calculate the LCM of 22971 and 22983.

LCM(22971,22983) = 3¹ × 13¹ × 19¹ × 31¹ × 47¹ × 163¹
LCM(22971,22983) = 175980831