What is the Least Common Multiple of 16449 and 16458?

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 16449 and 16458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16449 and 16458, than apply into the LCM equation.

GCF(16449,16458) = 3
LCM(16449,16458) = ( 16449 × 16458) / 3
LCM(16449,16458) = 270717642 / 3
LCM(16449,16458) = 90239214

Least Common Multiple (LCM) of 16449 and 16458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16449 and 16458. First we will calculate the prime factors of 16449 and 16458.

Prime Factorization of 16449

Prime Factorization of 16458

Now multiplying the highest exponent prime factors to calculate the LCM of 16449 and 16458.

LCM(16449,16458) = 3¹ × 5483¹ × 2¹ × 13¹ × 211¹
LCM(16449,16458) = 90239214