What is the Least Common Multiple of 1698 and 1713?

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 1698 and 1713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1698 and 1713, than apply into the LCM equation.

GCF(1698,1713) = 3
LCM(1698,1713) = ( 1698 × 1713) / 3
LCM(1698,1713) = 2908674 / 3
LCM(1698,1713) = 969558

Least Common Multiple (LCM) of 1698 and 1713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1698 and 1713. First we will calculate the prime factors of 1698 and 1713.

Prime Factorization of 1698

Prime Factorization of 1713

Now multiplying the highest exponent prime factors to calculate the LCM of 1698 and 1713.

LCM(1698,1713) = 2¹ × 3¹ × 283¹ × 571¹
LCM(1698,1713) = 969558