What is the Least Common Multiple of 27204 and 27220?

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 27204 and 27220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27204 and 27220, than apply into the LCM equation.

GCF(27204,27220) = 4
LCM(27204,27220) = ( 27204 × 27220) / 4
LCM(27204,27220) = 740492880 / 4
LCM(27204,27220) = 185123220

Least Common Multiple (LCM) of 27204 and 27220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27204 and 27220. First we will calculate the prime factors of 27204 and 27220.

Prime Factorization of 27204

Prime Factorization of 27220

Now multiplying the highest exponent prime factors to calculate the LCM of 27204 and 27220.

LCM(27204,27220) = 2² × 3¹ × 2267¹ × 5¹ × 1361¹
LCM(27204,27220) = 185123220