What is the Least Common Multiple of 16935 and 16940?

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 16935 and 16940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16935 and 16940, than apply into the LCM equation.

GCF(16935,16940) = 5
LCM(16935,16940) = ( 16935 × 16940) / 5
LCM(16935,16940) = 286878900 / 5
LCM(16935,16940) = 57375780

Least Common Multiple (LCM) of 16935 and 16940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16935 and 16940. First we will calculate the prime factors of 16935 and 16940.

Prime Factorization of 16935

Prime Factorization of 16940

Now multiplying the highest exponent prime factors to calculate the LCM of 16935 and 16940.

LCM(16935,16940) = 3¹ × 5¹ × 1129¹ × 2² × 7¹ × 11²
LCM(16935,16940) = 57375780