What is the Least Common Multiple of 27374 and 27387?

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 27374 and 27387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27374 and 27387, than apply into the LCM equation.

GCF(27374,27387) = 1
LCM(27374,27387) = ( 27374 × 27387) / 1
LCM(27374,27387) = 749691738 / 1
LCM(27374,27387) = 749691738

Least Common Multiple (LCM) of 27374 and 27387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27374 and 27387. First we will calculate the prime factors of 27374 and 27387.

Prime Factorization of 27374

Prime Factorization of 27387

Now multiplying the highest exponent prime factors to calculate the LCM of 27374 and 27387.

LCM(27374,27387) = 2¹ × 13687¹ × 3² × 17¹ × 179¹
LCM(27374,27387) = 749691738