What is the Least Common Multiple of 16760 and 16775?

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 16760 and 16775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16760 and 16775, than apply into the LCM equation.

GCF(16760,16775) = 5
LCM(16760,16775) = ( 16760 × 16775) / 5
LCM(16760,16775) = 281149000 / 5
LCM(16760,16775) = 56229800

Least Common Multiple (LCM) of 16760 and 16775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16760 and 16775. First we will calculate the prime factors of 16760 and 16775.

Prime Factorization of 16760

Prime Factorization of 16775

Now multiplying the highest exponent prime factors to calculate the LCM of 16760 and 16775.

LCM(16760,16775) = 2³ × 5² × 419¹ × 11¹ × 61¹
LCM(16760,16775) = 56229800