What is the Least Common Multiple of 18720 and 18734?

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 18720 and 18734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18720 and 18734, than apply into the LCM equation.

GCF(18720,18734) = 2
LCM(18720,18734) = ( 18720 × 18734) / 2
LCM(18720,18734) = 350700480 / 2
LCM(18720,18734) = 175350240

Least Common Multiple (LCM) of 18720 and 18734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18720 and 18734. First we will calculate the prime factors of 18720 and 18734.

Prime Factorization of 18720

Prime Factorization of 18734

Now multiplying the highest exponent prime factors to calculate the LCM of 18720 and 18734.

LCM(18720,18734) = 2⁵ × 3² × 5¹ × 13¹ × 17¹ × 19¹ × 29¹
LCM(18720,18734) = 175350240