What is the Least Common Multiple of 27590 and 27608?

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 27590 and 27608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27590 and 27608, than apply into the LCM equation.

GCF(27590,27608) = 2
LCM(27590,27608) = ( 27590 × 27608) / 2
LCM(27590,27608) = 761704720 / 2
LCM(27590,27608) = 380852360

Least Common Multiple (LCM) of 27590 and 27608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27590 and 27608. First we will calculate the prime factors of 27590 and 27608.

Prime Factorization of 27590

Prime Factorization of 27608

Now multiplying the highest exponent prime factors to calculate the LCM of 27590 and 27608.

LCM(27590,27608) = 2³ × 5¹ × 31¹ × 89¹ × 7¹ × 17¹ × 29¹
LCM(27590,27608) = 380852360