What is the Least Common Multiple of 22755 and 22773?

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 22755 and 22773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22755 and 22773, than apply into the LCM equation.

GCF(22755,22773) = 3
LCM(22755,22773) = ( 22755 × 22773) / 3
LCM(22755,22773) = 518199615 / 3
LCM(22755,22773) = 172733205

Least Common Multiple (LCM) of 22755 and 22773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22755 and 22773. First we will calculate the prime factors of 22755 and 22773.

Prime Factorization of 22755

Prime Factorization of 22773

Now multiplying the highest exponent prime factors to calculate the LCM of 22755 and 22773.

LCM(22755,22773) = 3¹ × 5¹ × 37¹ × 41¹ × 7591¹
LCM(22755,22773) = 172733205