What is the Least Common Multiple of 16946 and 16954?

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 16946 and 16954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16946 and 16954, than apply into the LCM equation.

GCF(16946,16954) = 2
LCM(16946,16954) = ( 16946 × 16954) / 2
LCM(16946,16954) = 287302484 / 2
LCM(16946,16954) = 143651242

Least Common Multiple (LCM) of 16946 and 16954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16946 and 16954. First we will calculate the prime factors of 16946 and 16954.

Prime Factorization of 16946

Prime Factorization of 16954

Now multiplying the highest exponent prime factors to calculate the LCM of 16946 and 16954.

LCM(16946,16954) = 2¹ × 37¹ × 229¹ × 7² × 173¹
LCM(16946,16954) = 143651242