What is the Least Common Multiple of 27525 and 27535?

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 27525 and 27535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27525 and 27535, than apply into the LCM equation.

GCF(27525,27535) = 5
LCM(27525,27535) = ( 27525 × 27535) / 5
LCM(27525,27535) = 757900875 / 5
LCM(27525,27535) = 151580175

Least Common Multiple (LCM) of 27525 and 27535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27525 and 27535. First we will calculate the prime factors of 27525 and 27535.

Prime Factorization of 27525

Prime Factorization of 27535

Now multiplying the highest exponent prime factors to calculate the LCM of 27525 and 27535.

LCM(27525,27535) = 3¹ × 5² × 367¹ × 5507¹
LCM(27525,27535) = 151580175