What is the Least Common Multiple of 22982 and 22994?

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 22982 and 22994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22982 and 22994, than apply into the LCM equation.

GCF(22982,22994) = 2
LCM(22982,22994) = ( 22982 × 22994) / 2
LCM(22982,22994) = 528448108 / 2
LCM(22982,22994) = 264224054

Least Common Multiple (LCM) of 22982 and 22994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22982 and 22994. First we will calculate the prime factors of 22982 and 22994.

Prime Factorization of 22982

Prime Factorization of 22994

Now multiplying the highest exponent prime factors to calculate the LCM of 22982 and 22994.

LCM(22982,22994) = 2¹ × 11491¹ × 11497¹
LCM(22982,22994) = 264224054