What is the Least Common Multiple of 16946 and 16965?

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 16965 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 16965, than apply into the LCM equation.

GCF(16946,16965) = 1
LCM(16946,16965) = ( 16946 × 16965) / 1
LCM(16946,16965) = 287488890 / 1
LCM(16946,16965) = 287488890

Least Common Multiple (LCM) of 16946 and 16965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16946 and 16965. First we will calculate the prime factors of 16946 and 16965.

Prime Factorization of 16946

Prime Factorization of 16965

Now multiplying the highest exponent prime factors to calculate the LCM of 16946 and 16965.

LCM(16946,16965) = 2¹ × 37¹ × 229¹ × 3² × 5¹ × 13¹ × 29¹
LCM(16946,16965) = 287488890