What is the Least Common Multiple of 16814 and 16833?

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 16814 and 16833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16814 and 16833, than apply into the LCM equation.

GCF(16814,16833) = 1
LCM(16814,16833) = ( 16814 × 16833) / 1
LCM(16814,16833) = 283030062 / 1
LCM(16814,16833) = 283030062

Least Common Multiple (LCM) of 16814 and 16833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16814 and 16833. First we will calculate the prime factors of 16814 and 16833.

Prime Factorization of 16814

Prime Factorization of 16833

Now multiplying the highest exponent prime factors to calculate the LCM of 16814 and 16833.

LCM(16814,16833) = 2¹ × 7¹ × 1201¹ × 3¹ × 31¹ × 181¹
LCM(16814,16833) = 283030062