What is the Least Common Multiple of 27594 and 27610?

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 27594 and 27610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27594 and 27610, than apply into the LCM equation.

GCF(27594,27610) = 2
LCM(27594,27610) = ( 27594 × 27610) / 2
LCM(27594,27610) = 761870340 / 2
LCM(27594,27610) = 380935170

Least Common Multiple (LCM) of 27594 and 27610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27594 and 27610. First we will calculate the prime factors of 27594 and 27610.

Prime Factorization of 27594

Prime Factorization of 27610

Now multiplying the highest exponent prime factors to calculate the LCM of 27594 and 27610.

LCM(27594,27610) = 2¹ × 3³ × 7¹ × 73¹ × 5¹ × 11¹ × 251¹
LCM(27594,27610) = 380935170