What is the Least Common Multiple of 16740 and 16755?

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 16740 and 16755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16740 and 16755, than apply into the LCM equation.

GCF(16740,16755) = 15
LCM(16740,16755) = ( 16740 × 16755) / 15
LCM(16740,16755) = 280478700 / 15
LCM(16740,16755) = 18698580

Least Common Multiple (LCM) of 16740 and 16755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16740 and 16755. First we will calculate the prime factors of 16740 and 16755.

Prime Factorization of 16740

Prime Factorization of 16755

Now multiplying the highest exponent prime factors to calculate the LCM of 16740 and 16755.

LCM(16740,16755) = 2² × 3³ × 5¹ × 31¹ × 1117¹
LCM(16740,16755) = 18698580