What is the Least Common Multiple of 16945 and 16958?

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 16945 and 16958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16945 and 16958, than apply into the LCM equation.

GCF(16945,16958) = 1
LCM(16945,16958) = ( 16945 × 16958) / 1
LCM(16945,16958) = 287353310 / 1
LCM(16945,16958) = 287353310

Least Common Multiple (LCM) of 16945 and 16958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16945 and 16958. First we will calculate the prime factors of 16945 and 16958.

Prime Factorization of 16945

Prime Factorization of 16958

Now multiplying the highest exponent prime factors to calculate the LCM of 16945 and 16958.

LCM(16945,16958) = 5¹ × 3389¹ × 2¹ × 61¹ × 139¹
LCM(16945,16958) = 287353310