What is the Least Common Multiple of 27210 and 27224?

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 27210 and 27224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27210 and 27224, than apply into the LCM equation.

GCF(27210,27224) = 2
LCM(27210,27224) = ( 27210 × 27224) / 2
LCM(27210,27224) = 740765040 / 2
LCM(27210,27224) = 370382520

Least Common Multiple (LCM) of 27210 and 27224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27210 and 27224. First we will calculate the prime factors of 27210 and 27224.

Prime Factorization of 27210

Prime Factorization of 27224

Now multiplying the highest exponent prime factors to calculate the LCM of 27210 and 27224.

LCM(27210,27224) = 2³ × 3¹ × 5¹ × 907¹ × 41¹ × 83¹
LCM(27210,27224) = 370382520