What is the Least Common Multiple of 18724 and 18738?

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 18724 and 18738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18724 and 18738, than apply into the LCM equation.

GCF(18724,18738) = 2
LCM(18724,18738) = ( 18724 × 18738) / 2
LCM(18724,18738) = 350850312 / 2
LCM(18724,18738) = 175425156

Least Common Multiple (LCM) of 18724 and 18738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18724 and 18738. First we will calculate the prime factors of 18724 and 18738.

Prime Factorization of 18724

Prime Factorization of 18738

Now multiplying the highest exponent prime factors to calculate the LCM of 18724 and 18738.

LCM(18724,18738) = 2² × 31¹ × 151¹ × 3³ × 347¹
LCM(18724,18738) = 175425156