What is the Least Common Multiple of 27475 and 27491?

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 27475 and 27491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27475 and 27491, than apply into the LCM equation.

GCF(27475,27491) = 1
LCM(27475,27491) = ( 27475 × 27491) / 1
LCM(27475,27491) = 755315225 / 1
LCM(27475,27491) = 755315225

Least Common Multiple (LCM) of 27475 and 27491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27475 and 27491. First we will calculate the prime factors of 27475 and 27491.

Prime Factorization of 27475

Prime Factorization of 27491

Now multiplying the highest exponent prime factors to calculate the LCM of 27475 and 27491.

LCM(27475,27491) = 5² × 7¹ × 157¹ × 37¹ × 743¹
LCM(27475,27491) = 755315225