What is the Least Common Multiple of 22164 and 22170?

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 22164 and 22170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22164 and 22170, than apply into the LCM equation.

GCF(22164,22170) = 6
LCM(22164,22170) = ( 22164 × 22170) / 6
LCM(22164,22170) = 491375880 / 6
LCM(22164,22170) = 81895980

Least Common Multiple (LCM) of 22164 and 22170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22164 and 22170. First we will calculate the prime factors of 22164 and 22170.

Prime Factorization of 22164

Prime Factorization of 22170

Now multiplying the highest exponent prime factors to calculate the LCM of 22164 and 22170.

LCM(22164,22170) = 2² × 3¹ × 1847¹ × 5¹ × 739¹
LCM(22164,22170) = 81895980