What is the Least Common Multiple of 27224 and 27230?

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 27224 and 27230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27224 and 27230, than apply into the LCM equation.

GCF(27224,27230) = 2
LCM(27224,27230) = ( 27224 × 27230) / 2
LCM(27224,27230) = 741309520 / 2
LCM(27224,27230) = 370654760

Least Common Multiple (LCM) of 27224 and 27230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27224 and 27230. First we will calculate the prime factors of 27224 and 27230.

Prime Factorization of 27224

Prime Factorization of 27230

Now multiplying the highest exponent prime factors to calculate the LCM of 27224 and 27230.

LCM(27224,27230) = 2³ × 41¹ × 83¹ × 5¹ × 7¹ × 389¹
LCM(27224,27230) = 370654760