What is the Least Common Multiple of 24458 and 24466?

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 24458 and 24466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24458 and 24466, than apply into the LCM equation.

GCF(24458,24466) = 2
LCM(24458,24466) = ( 24458 × 24466) / 2
LCM(24458,24466) = 598389428 / 2
LCM(24458,24466) = 299194714

Least Common Multiple (LCM) of 24458 and 24466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24458 and 24466. First we will calculate the prime factors of 24458 and 24466.

Prime Factorization of 24458

Prime Factorization of 24466

Now multiplying the highest exponent prime factors to calculate the LCM of 24458 and 24466.

LCM(24458,24466) = 2¹ × 7¹ × 1747¹ × 13¹ × 941¹
LCM(24458,24466) = 299194714