What is the Least Common Multiple of 18460 and 18469?

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 18460 and 18469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18460 and 18469, than apply into the LCM equation.

GCF(18460,18469) = 1
LCM(18460,18469) = ( 18460 × 18469) / 1
LCM(18460,18469) = 340937740 / 1
LCM(18460,18469) = 340937740

Least Common Multiple (LCM) of 18460 and 18469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18460 and 18469. First we will calculate the prime factors of 18460 and 18469.

Prime Factorization of 18460

Prime Factorization of 18469

Now multiplying the highest exponent prime factors to calculate the LCM of 18460 and 18469.

LCM(18460,18469) = 2² × 5¹ × 13¹ × 71¹ × 11¹ × 23¹ × 73¹
LCM(18460,18469) = 340937740