What is the Least Common Multiple of 22986 and 23006?

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 22986 and 23006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22986 and 23006, than apply into the LCM equation.

GCF(22986,23006) = 2
LCM(22986,23006) = ( 22986 × 23006) / 2
LCM(22986,23006) = 528815916 / 2
LCM(22986,23006) = 264407958

Least Common Multiple (LCM) of 22986 and 23006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22986 and 23006. First we will calculate the prime factors of 22986 and 23006.

Prime Factorization of 22986

Prime Factorization of 23006

Now multiplying the highest exponent prime factors to calculate the LCM of 22986 and 23006.

LCM(22986,23006) = 2¹ × 3² × 1277¹ × 11503¹
LCM(22986,23006) = 264407958