What is the Least Common Multiple of 16549 and 16568?

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 16549 and 16568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16549 and 16568, than apply into the LCM equation.

GCF(16549,16568) = 19
LCM(16549,16568) = ( 16549 × 16568) / 19
LCM(16549,16568) = 274183832 / 19
LCM(16549,16568) = 14430728

Least Common Multiple (LCM) of 16549 and 16568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16549 and 16568. First we will calculate the prime factors of 16549 and 16568.

Prime Factorization of 16549

Prime Factorization of 16568

Now multiplying the highest exponent prime factors to calculate the LCM of 16549 and 16568.

LCM(16549,16568) = 13¹ × 19¹ × 67¹ × 2³ × 109¹
LCM(16549,16568) = 14430728