What is the Least Common Multiple of 16649 and 16666?

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 16649 and 16666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16649 and 16666, than apply into the LCM equation.

GCF(16649,16666) = 1
LCM(16649,16666) = ( 16649 × 16666) / 1
LCM(16649,16666) = 277472234 / 1
LCM(16649,16666) = 277472234

Least Common Multiple (LCM) of 16649 and 16666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16649 and 16666. First we will calculate the prime factors of 16649 and 16666.

Prime Factorization of 16649

Prime Factorization of 16666

Now multiplying the highest exponent prime factors to calculate the LCM of 16649 and 16666.

LCM(16649,16666) = 16649¹ × 2¹ × 13¹ × 641¹
LCM(16649,16666) = 277472234