What is the Least Common Multiple of 27674 and 27681?

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 27674 and 27681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27674 and 27681, than apply into the LCM equation.

GCF(27674,27681) = 1
LCM(27674,27681) = ( 27674 × 27681) / 1
LCM(27674,27681) = 766043994 / 1
LCM(27674,27681) = 766043994

Least Common Multiple (LCM) of 27674 and 27681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27674 and 27681. First we will calculate the prime factors of 27674 and 27681.

Prime Factorization of 27674

Prime Factorization of 27681

Now multiplying the highest exponent prime factors to calculate the LCM of 27674 and 27681.

LCM(27674,27681) = 2¹ × 101¹ × 137¹ × 3¹ × 9227¹
LCM(27674,27681) = 766043994