What is the Least Common Multiple of 22491 and 22498?

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 22491 and 22498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22491 and 22498, than apply into the LCM equation.

GCF(22491,22498) = 7
LCM(22491,22498) = ( 22491 × 22498) / 7
LCM(22491,22498) = 506002518 / 7
LCM(22491,22498) = 72286074

Least Common Multiple (LCM) of 22491 and 22498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22491 and 22498. First we will calculate the prime factors of 22491 and 22498.

Prime Factorization of 22491

Prime Factorization of 22498

Now multiplying the highest exponent prime factors to calculate the LCM of 22491 and 22498.

LCM(22491,22498) = 3³ × 7² × 17¹ × 2¹ × 1607¹
LCM(22491,22498) = 72286074