What is the Least Common Multiple of 22984 and 22997?

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 22984 and 22997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22984 and 22997, than apply into the LCM equation.

GCF(22984,22997) = 13
LCM(22984,22997) = ( 22984 × 22997) / 13
LCM(22984,22997) = 528563048 / 13
LCM(22984,22997) = 40658696

Least Common Multiple (LCM) of 22984 and 22997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22984 and 22997. First we will calculate the prime factors of 22984 and 22997.

Prime Factorization of 22984

Prime Factorization of 22997

Now multiplying the highest exponent prime factors to calculate the LCM of 22984 and 22997.

LCM(22984,22997) = 2³ × 13² × 17¹ × 29¹ × 61¹
LCM(22984,22997) = 40658696