What is the Least Common Multiple of 21726 and 21737?

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 21726 and 21737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21726 and 21737, than apply into the LCM equation.

GCF(21726,21737) = 1
LCM(21726,21737) = ( 21726 × 21737) / 1
LCM(21726,21737) = 472258062 / 1
LCM(21726,21737) = 472258062

Least Common Multiple (LCM) of 21726 and 21737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21726 and 21737. First we will calculate the prime factors of 21726 and 21737.

Prime Factorization of 21726

Prime Factorization of 21737

Now multiplying the highest exponent prime factors to calculate the LCM of 21726 and 21737.

LCM(21726,21737) = 2¹ × 3² × 17¹ × 71¹ × 21737¹
LCM(21726,21737) = 472258062