What is the Least Common Multiple of 27660 and 27674?

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 27660 and 27674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27660 and 27674, than apply into the LCM equation.

GCF(27660,27674) = 2
LCM(27660,27674) = ( 27660 × 27674) / 2
LCM(27660,27674) = 765462840 / 2
LCM(27660,27674) = 382731420

Least Common Multiple (LCM) of 27660 and 27674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27660 and 27674. First we will calculate the prime factors of 27660 and 27674.

Prime Factorization of 27660

Prime Factorization of 27674

Now multiplying the highest exponent prime factors to calculate the LCM of 27660 and 27674.

LCM(27660,27674) = 2² × 3¹ × 5¹ × 461¹ × 101¹ × 137¹
LCM(27660,27674) = 382731420