What is the Least Common Multiple of 16789 and 16802?

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 16789 and 16802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16789 and 16802, than apply into the LCM equation.

GCF(16789,16802) = 1
LCM(16789,16802) = ( 16789 × 16802) / 1
LCM(16789,16802) = 282088778 / 1
LCM(16789,16802) = 282088778

Least Common Multiple (LCM) of 16789 and 16802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16789 and 16802. First we will calculate the prime factors of 16789 and 16802.

Prime Factorization of 16789

Prime Factorization of 16802

Now multiplying the highest exponent prime factors to calculate the LCM of 16789 and 16802.

LCM(16789,16802) = 103¹ × 163¹ × 2¹ × 31¹ × 271¹
LCM(16789,16802) = 282088778