What is the Least Common Multiple of 22737 and 22749?

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 22737 and 22749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22737 and 22749, than apply into the LCM equation.

GCF(22737,22749) = 3
LCM(22737,22749) = ( 22737 × 22749) / 3
LCM(22737,22749) = 517244013 / 3
LCM(22737,22749) = 172414671

Least Common Multiple (LCM) of 22737 and 22749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22737 and 22749. First we will calculate the prime factors of 22737 and 22749.

Prime Factorization of 22737

Prime Factorization of 22749

Now multiplying the highest exponent prime factors to calculate the LCM of 22737 and 22749.

LCM(22737,22749) = 3¹ × 11¹ × 13¹ × 53¹ × 7583¹
LCM(22737,22749) = 172414671