What is the Least Common Multiple of 22719 and 22737?

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 22719 and 22737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22719 and 22737, than apply into the LCM equation.

GCF(22719,22737) = 3
LCM(22719,22737) = ( 22719 × 22737) / 3
LCM(22719,22737) = 516561903 / 3
LCM(22719,22737) = 172187301

Least Common Multiple (LCM) of 22719 and 22737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22719 and 22737. First we will calculate the prime factors of 22719 and 22737.

Prime Factorization of 22719

Prime Factorization of 22737

Now multiplying the highest exponent prime factors to calculate the LCM of 22719 and 22737.

LCM(22719,22737) = 3¹ × 7573¹ × 11¹ × 13¹ × 53¹
LCM(22719,22737) = 172187301