What is the Least Common Multiple of 22983 and 22992?

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 22983 and 22992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22983 and 22992, than apply into the LCM equation.

GCF(22983,22992) = 3
LCM(22983,22992) = ( 22983 × 22992) / 3
LCM(22983,22992) = 528425136 / 3
LCM(22983,22992) = 176141712

Least Common Multiple (LCM) of 22983 and 22992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22983 and 22992. First we will calculate the prime factors of 22983 and 22992.

Prime Factorization of 22983

Prime Factorization of 22992

Now multiplying the highest exponent prime factors to calculate the LCM of 22983 and 22992.

LCM(22983,22992) = 3¹ × 47¹ × 163¹ × 2⁴ × 479¹
LCM(22983,22992) = 176141712