What is the Least Common Multiple of 16640 and 16657?

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 16657 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 16657, than apply into the LCM equation.

GCF(16640,16657) = 1
LCM(16640,16657) = ( 16640 × 16657) / 1
LCM(16640,16657) = 277172480 / 1
LCM(16640,16657) = 277172480

Least Common Multiple (LCM) of 16640 and 16657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16640 and 16657. First we will calculate the prime factors of 16640 and 16657.

Prime Factorization of 16640

Prime Factorization of 16657

Now multiplying the highest exponent prime factors to calculate the LCM of 16640 and 16657.

LCM(16640,16657) = 2⁸ × 5¹ × 13¹ × 16657¹
LCM(16640,16657) = 277172480