What is the Least Common Multiple of 27598 and 27613?

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 27598 and 27613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27598 and 27613, than apply into the LCM equation.

GCF(27598,27613) = 1
LCM(27598,27613) = ( 27598 × 27613) / 1
LCM(27598,27613) = 762063574 / 1
LCM(27598,27613) = 762063574

Least Common Multiple (LCM) of 27598 and 27613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27598 and 27613. First we will calculate the prime factors of 27598 and 27613.

Prime Factorization of 27598

Prime Factorization of 27613

Now multiplying the highest exponent prime factors to calculate the LCM of 27598 and 27613.

LCM(27598,27613) = 2¹ × 13799¹ × 53¹ × 521¹
LCM(27598,27613) = 762063574