What is the Least Common Multiple of 22251 and 22269?

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 22251 and 22269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22251 and 22269, than apply into the LCM equation.

GCF(22251,22269) = 3
LCM(22251,22269) = ( 22251 × 22269) / 3
LCM(22251,22269) = 495507519 / 3
LCM(22251,22269) = 165169173

Least Common Multiple (LCM) of 22251 and 22269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22251 and 22269. First we will calculate the prime factors of 22251 and 22269.

Prime Factorization of 22251

Prime Factorization of 22269

Now multiplying the highest exponent prime factors to calculate the LCM of 22251 and 22269.

LCM(22251,22269) = 3¹ × 7417¹ × 13¹ × 571¹
LCM(22251,22269) = 165169173