What is the Least Common Multiple of 16479 and 16497?

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 16479 and 16497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16479 and 16497, than apply into the LCM equation.

GCF(16479,16497) = 9
LCM(16479,16497) = ( 16479 × 16497) / 9
LCM(16479,16497) = 271854063 / 9
LCM(16479,16497) = 30206007

Least Common Multiple (LCM) of 16479 and 16497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16479 and 16497. First we will calculate the prime factors of 16479 and 16497.

Prime Factorization of 16479

Prime Factorization of 16497

Now multiplying the highest exponent prime factors to calculate the LCM of 16479 and 16497.

LCM(16479,16497) = 3³ × 1831¹ × 13¹ × 47¹
LCM(16479,16497) = 30206007