What is the Least Common Multiple of 22646 and 22657?

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 22646 and 22657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22646 and 22657, than apply into the LCM equation.

GCF(22646,22657) = 1
LCM(22646,22657) = ( 22646 × 22657) / 1
LCM(22646,22657) = 513090422 / 1
LCM(22646,22657) = 513090422

Least Common Multiple (LCM) of 22646 and 22657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22646 and 22657. First we will calculate the prime factors of 22646 and 22657.

Prime Factorization of 22646

Prime Factorization of 22657

Now multiplying the highest exponent prime factors to calculate the LCM of 22646 and 22657.

LCM(22646,22657) = 2¹ × 13² × 67¹ × 139¹ × 163¹
LCM(22646,22657) = 513090422