What is the Least Common Multiple of 16540 and 16547?

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 16540 and 16547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16540 and 16547, than apply into the LCM equation.

GCF(16540,16547) = 1
LCM(16540,16547) = ( 16540 × 16547) / 1
LCM(16540,16547) = 273687380 / 1
LCM(16540,16547) = 273687380

Least Common Multiple (LCM) of 16540 and 16547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16540 and 16547. First we will calculate the prime factors of 16540 and 16547.

Prime Factorization of 16540

Prime Factorization of 16547

Now multiplying the highest exponent prime factors to calculate the LCM of 16540 and 16547.

LCM(16540,16547) = 2² × 5¹ × 827¹ × 16547¹
LCM(16540,16547) = 273687380