What is the Least Common Multiple of 16940 and 16949?

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 16940 and 16949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16940 and 16949, than apply into the LCM equation.

GCF(16940,16949) = 1
LCM(16940,16949) = ( 16940 × 16949) / 1
LCM(16940,16949) = 287116060 / 1
LCM(16940,16949) = 287116060

Least Common Multiple (LCM) of 16940 and 16949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16940 and 16949. First we will calculate the prime factors of 16940 and 16949.

Prime Factorization of 16940

Prime Factorization of 16949

Now multiplying the highest exponent prime factors to calculate the LCM of 16940 and 16949.

LCM(16940,16949) = 2² × 5¹ × 7¹ × 11² × 17¹ × 997¹
LCM(16940,16949) = 287116060