What is the Least Common Multiple of 27489 and 27505?

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 27489 and 27505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27489 and 27505, than apply into the LCM equation.

GCF(27489,27505) = 1
LCM(27489,27505) = ( 27489 × 27505) / 1
LCM(27489,27505) = 756084945 / 1
LCM(27489,27505) = 756084945

Least Common Multiple (LCM) of 27489 and 27505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27489 and 27505. First we will calculate the prime factors of 27489 and 27505.

Prime Factorization of 27489

Prime Factorization of 27505

Now multiplying the highest exponent prime factors to calculate the LCM of 27489 and 27505.

LCM(27489,27505) = 3¹ × 7² × 11¹ × 17¹ × 5¹ × 5501¹
LCM(27489,27505) = 756084945