What is the Least Common Multiple of 16536 and 16549?

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 16536 and 16549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16536 and 16549, than apply into the LCM equation.

GCF(16536,16549) = 13
LCM(16536,16549) = ( 16536 × 16549) / 13
LCM(16536,16549) = 273654264 / 13
LCM(16536,16549) = 21050328

Least Common Multiple (LCM) of 16536 and 16549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16536 and 16549. First we will calculate the prime factors of 16536 and 16549.

Prime Factorization of 16536

Prime Factorization of 16549

Now multiplying the highest exponent prime factors to calculate the LCM of 16536 and 16549.

LCM(16536,16549) = 2³ × 3¹ × 13¹ × 53¹ × 19¹ × 67¹
LCM(16536,16549) = 21050328