What is the Least Common Multiple of 16768 and 16782?

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 16768 and 16782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16768 and 16782, than apply into the LCM equation.

GCF(16768,16782) = 2
LCM(16768,16782) = ( 16768 × 16782) / 2
LCM(16768,16782) = 281400576 / 2
LCM(16768,16782) = 140700288

Least Common Multiple (LCM) of 16768 and 16782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16768 and 16782. First we will calculate the prime factors of 16768 and 16782.

Prime Factorization of 16768

Prime Factorization of 16782

Now multiplying the highest exponent prime factors to calculate the LCM of 16768 and 16782.

LCM(16768,16782) = 2⁷ × 131¹ × 3¹ × 2797¹
LCM(16768,16782) = 140700288