What is the Least Common Multiple of 1686 and 1693?

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 1686 and 1693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1686 and 1693, than apply into the LCM equation.

GCF(1686,1693) = 1
LCM(1686,1693) = ( 1686 × 1693) / 1
LCM(1686,1693) = 2854398 / 1
LCM(1686,1693) = 2854398

Least Common Multiple (LCM) of 1686 and 1693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1686 and 1693. First we will calculate the prime factors of 1686 and 1693.

Prime Factorization of 1686

Prime Factorization of 1693

Now multiplying the highest exponent prime factors to calculate the LCM of 1686 and 1693.

LCM(1686,1693) = 2¹ × 3¹ × 281¹ × 1693¹
LCM(1686,1693) = 2854398