What is the Least Common Multiple of 16496 and 16507?

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 16496 and 16507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16496 and 16507, than apply into the LCM equation.

GCF(16496,16507) = 1
LCM(16496,16507) = ( 16496 × 16507) / 1
LCM(16496,16507) = 272299472 / 1
LCM(16496,16507) = 272299472

Least Common Multiple (LCM) of 16496 and 16507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16496 and 16507. First we will calculate the prime factors of 16496 and 16507.

Prime Factorization of 16496

Prime Factorization of 16507

Now multiplying the highest exponent prime factors to calculate the LCM of 16496 and 16507.

LCM(16496,16507) = 2⁴ × 1031¹ × 17¹ × 971¹
LCM(16496,16507) = 272299472