What is the Least Common Multiple of 21646 and 21659?

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 21646 and 21659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21646 and 21659, than apply into the LCM equation.

GCF(21646,21659) = 1
LCM(21646,21659) = ( 21646 × 21659) / 1
LCM(21646,21659) = 468830714 / 1
LCM(21646,21659) = 468830714

Least Common Multiple (LCM) of 21646 and 21659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21646 and 21659. First we will calculate the prime factors of 21646 and 21659.

Prime Factorization of 21646

Prime Factorization of 21659

Now multiplying the highest exponent prime factors to calculate the LCM of 21646 and 21659.

LCM(21646,21659) = 2¹ × 79¹ × 137¹ × 11² × 179¹
LCM(21646,21659) = 468830714