What is the Least Common Multiple of 16541 and 16548?

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 16541 and 16548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16541 and 16548, than apply into the LCM equation.

GCF(16541,16548) = 7
LCM(16541,16548) = ( 16541 × 16548) / 7
LCM(16541,16548) = 273720468 / 7
LCM(16541,16548) = 39102924

Least Common Multiple (LCM) of 16541 and 16548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16541 and 16548. First we will calculate the prime factors of 16541 and 16548.

Prime Factorization of 16541

Prime Factorization of 16548

Now multiplying the highest exponent prime factors to calculate the LCM of 16541 and 16548.

LCM(16541,16548) = 7¹ × 17¹ × 139¹ × 2² × 3¹ × 197¹
LCM(16541,16548) = 39102924