What is the Least Common Multiple of 1686 and 1706?

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 1706 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 1706, than apply into the LCM equation.

GCF(1686,1706) = 2
LCM(1686,1706) = ( 1686 × 1706) / 2
LCM(1686,1706) = 2876316 / 2
LCM(1686,1706) = 1438158

Least Common Multiple (LCM) of 1686 and 1706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1686 and 1706. First we will calculate the prime factors of 1686 and 1706.

Prime Factorization of 1686

Prime Factorization of 1706

Now multiplying the highest exponent prime factors to calculate the LCM of 1686 and 1706.

LCM(1686,1706) = 2¹ × 3¹ × 281¹ × 853¹
LCM(1686,1706) = 1438158