What is the Least Common Multiple of 16949 and 16966?

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 16949 and 16966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16949 and 16966, than apply into the LCM equation.

GCF(16949,16966) = 17
LCM(16949,16966) = ( 16949 × 16966) / 17
LCM(16949,16966) = 287556734 / 17
LCM(16949,16966) = 16915102

Least Common Multiple (LCM) of 16949 and 16966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16949 and 16966. First we will calculate the prime factors of 16949 and 16966.

Prime Factorization of 16949

Prime Factorization of 16966

Now multiplying the highest exponent prime factors to calculate the LCM of 16949 and 16966.

LCM(16949,16966) = 17¹ × 997¹ × 2¹ × 499¹
LCM(16949,16966) = 16915102