What is the Least Common Multiple of 27507 and 27527?

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 27507 and 27527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27507 and 27527, than apply into the LCM equation.

GCF(27507,27527) = 1
LCM(27507,27527) = ( 27507 × 27527) / 1
LCM(27507,27527) = 757185189 / 1
LCM(27507,27527) = 757185189

Least Common Multiple (LCM) of 27507 and 27527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27507 and 27527. First we will calculate the prime factors of 27507 and 27527.

Prime Factorization of 27507

Prime Factorization of 27527

Now multiplying the highest exponent prime factors to calculate the LCM of 27507 and 27527.

LCM(27507,27527) = 3¹ × 53¹ × 173¹ × 27527¹
LCM(27507,27527) = 757185189