What is the Least Common Multiple of 16758 and 16765?

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 16758 and 16765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16758 and 16765, than apply into the LCM equation.

GCF(16758,16765) = 7
LCM(16758,16765) = ( 16758 × 16765) / 7
LCM(16758,16765) = 280947870 / 7
LCM(16758,16765) = 40135410

Least Common Multiple (LCM) of 16758 and 16765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16758 and 16765. First we will calculate the prime factors of 16758 and 16765.

Prime Factorization of 16758

Prime Factorization of 16765

Now multiplying the highest exponent prime factors to calculate the LCM of 16758 and 16765.

LCM(16758,16765) = 2¹ × 3² × 7² × 19¹ × 5¹ × 479¹
LCM(16758,16765) = 40135410