What is the Least Common Multiple of 16640 and 16649?

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 16640 and 16649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16640 and 16649, than apply into the LCM equation.

GCF(16640,16649) = 1
LCM(16640,16649) = ( 16640 × 16649) / 1
LCM(16640,16649) = 277039360 / 1
LCM(16640,16649) = 277039360

Least Common Multiple (LCM) of 16640 and 16649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16640 and 16649. First we will calculate the prime factors of 16640 and 16649.

Prime Factorization of 16640

Prime Factorization of 16649

Now multiplying the highest exponent prime factors to calculate the LCM of 16640 and 16649.

LCM(16640,16649) = 2⁸ × 5¹ × 13¹ × 16649¹
LCM(16640,16649) = 277039360