What is the Least Common Multiple of 28164 and 28170?

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 28164 and 28170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28164 and 28170, than apply into the LCM equation.

GCF(28164,28170) = 6
LCM(28164,28170) = ( 28164 × 28170) / 6
LCM(28164,28170) = 793379880 / 6
LCM(28164,28170) = 132229980

Least Common Multiple (LCM) of 28164 and 28170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28164 and 28170. First we will calculate the prime factors of 28164 and 28170.

Prime Factorization of 28164

Prime Factorization of 28170

Now multiplying the highest exponent prime factors to calculate the LCM of 28164 and 28170.

LCM(28164,28170) = 2² × 3² × 2347¹ × 5¹ × 313¹
LCM(28164,28170) = 132229980