What is the Least Common Multiple of 16458 and 16462?

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 16458 and 16462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16458 and 16462, than apply into the LCM equation.

GCF(16458,16462) = 2
LCM(16458,16462) = ( 16458 × 16462) / 2
LCM(16458,16462) = 270931596 / 2
LCM(16458,16462) = 135465798

Least Common Multiple (LCM) of 16458 and 16462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16458 and 16462. First we will calculate the prime factors of 16458 and 16462.

Prime Factorization of 16458

Prime Factorization of 16462

Now multiplying the highest exponent prime factors to calculate the LCM of 16458 and 16462.

LCM(16458,16462) = 2¹ × 3¹ × 13¹ × 211¹ × 8231¹
LCM(16458,16462) = 135465798