What is the Least Common Multiple of 22152 and 22161?

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 22152 and 22161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22152 and 22161, than apply into the LCM equation.

GCF(22152,22161) = 3
LCM(22152,22161) = ( 22152 × 22161) / 3
LCM(22152,22161) = 490910472 / 3
LCM(22152,22161) = 163636824

Least Common Multiple (LCM) of 22152 and 22161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22152 and 22161. First we will calculate the prime factors of 22152 and 22161.

Prime Factorization of 22152

Prime Factorization of 22161

Now multiplying the highest exponent prime factors to calculate the LCM of 22152 and 22161.

LCM(22152,22161) = 2³ × 3¹ × 13¹ × 71¹ × 83¹ × 89¹
LCM(22152,22161) = 163636824