What is the Least Common Multiple of 27472 and 27489?

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 27472 and 27489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27472 and 27489, than apply into the LCM equation.

GCF(27472,27489) = 17
LCM(27472,27489) = ( 27472 × 27489) / 17
LCM(27472,27489) = 755177808 / 17
LCM(27472,27489) = 44422224

Least Common Multiple (LCM) of 27472 and 27489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27472 and 27489. First we will calculate the prime factors of 27472 and 27489.

Prime Factorization of 27472

Prime Factorization of 27489

Now multiplying the highest exponent prime factors to calculate the LCM of 27472 and 27489.

LCM(27472,27489) = 2⁴ × 17¹ × 101¹ × 3¹ × 7² × 11¹
LCM(27472,27489) = 44422224