What is the Least Common Multiple of 18438 and 18458?

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 18438 and 18458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18438 and 18458, than apply into the LCM equation.

GCF(18438,18458) = 2
LCM(18438,18458) = ( 18438 × 18458) / 2
LCM(18438,18458) = 340328604 / 2
LCM(18438,18458) = 170164302

Least Common Multiple (LCM) of 18438 and 18458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18438 and 18458. First we will calculate the prime factors of 18438 and 18458.

Prime Factorization of 18438

Prime Factorization of 18458

Now multiplying the highest exponent prime factors to calculate the LCM of 18438 and 18458.

LCM(18438,18458) = 2¹ × 3¹ × 7¹ × 439¹ × 11¹ × 839¹
LCM(18438,18458) = 170164302