What is the Least Common Multiple of 22146 and 22155?

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 22146 and 22155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22146 and 22155, than apply into the LCM equation.

GCF(22146,22155) = 3
LCM(22146,22155) = ( 22146 × 22155) / 3
LCM(22146,22155) = 490644630 / 3
LCM(22146,22155) = 163548210

Least Common Multiple (LCM) of 22146 and 22155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22146 and 22155. First we will calculate the prime factors of 22146 and 22155.

Prime Factorization of 22146

Prime Factorization of 22155

Now multiplying the highest exponent prime factors to calculate the LCM of 22146 and 22155.

LCM(22146,22155) = 2¹ × 3¹ × 3691¹ × 5¹ × 7¹ × 211¹
LCM(22146,22155) = 163548210