What is the Least Common Multiple of 18734 and 18751?

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 18734 and 18751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18734 and 18751, than apply into the LCM equation.

GCF(18734,18751) = 17
LCM(18734,18751) = ( 18734 × 18751) / 17
LCM(18734,18751) = 351281234 / 17
LCM(18734,18751) = 20663602

Least Common Multiple (LCM) of 18734 and 18751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18734 and 18751. First we will calculate the prime factors of 18734 and 18751.

Prime Factorization of 18734

Prime Factorization of 18751

Now multiplying the highest exponent prime factors to calculate the LCM of 18734 and 18751.

LCM(18734,18751) = 2¹ × 17¹ × 19¹ × 29¹ × 1103¹
LCM(18734,18751) = 20663602