What is the Least Common Multiple of 16458 and 16475?

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 16475 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 16475, than apply into the LCM equation.

GCF(16458,16475) = 1
LCM(16458,16475) = ( 16458 × 16475) / 1
LCM(16458,16475) = 271145550 / 1
LCM(16458,16475) = 271145550

Least Common Multiple (LCM) of 16458 and 16475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16458 and 16475. First we will calculate the prime factors of 16458 and 16475.

Prime Factorization of 16458

Prime Factorization of 16475

Now multiplying the highest exponent prime factors to calculate the LCM of 16458 and 16475.

LCM(16458,16475) = 2¹ × 3¹ × 13¹ × 211¹ × 5² × 659¹
LCM(16458,16475) = 271145550