What is the Least Common Multiple of 22758 and 22767?

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 22758 and 22767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22758 and 22767, than apply into the LCM equation.

GCF(22758,22767) = 3
LCM(22758,22767) = ( 22758 × 22767) / 3
LCM(22758,22767) = 518131386 / 3
LCM(22758,22767) = 172710462

Least Common Multiple (LCM) of 22758 and 22767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22758 and 22767. First we will calculate the prime factors of 22758 and 22767.

Prime Factorization of 22758

Prime Factorization of 22767

Now multiplying the highest exponent prime factors to calculate the LCM of 22758 and 22767.

LCM(22758,22767) = 2¹ × 3¹ × 3793¹ × 7589¹
LCM(22758,22767) = 172710462