What is the Least Common Multiple of 18435 and 18454?

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 18435 and 18454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18435 and 18454, than apply into the LCM equation.

GCF(18435,18454) = 1
LCM(18435,18454) = ( 18435 × 18454) / 1
LCM(18435,18454) = 340199490 / 1
LCM(18435,18454) = 340199490

Least Common Multiple (LCM) of 18435 and 18454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18435 and 18454. First we will calculate the prime factors of 18435 and 18454.

Prime Factorization of 18435

Prime Factorization of 18454

Now multiplying the highest exponent prime factors to calculate the LCM of 18435 and 18454.

LCM(18435,18454) = 3¹ × 5¹ × 1229¹ × 2¹ × 9227¹
LCM(18435,18454) = 340199490