What is the Least Common Multiple of 31689 and 31703?

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 31689 and 31703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31689 and 31703, than apply into the LCM equation.

GCF(31689,31703) = 7
LCM(31689,31703) = ( 31689 × 31703) / 7
LCM(31689,31703) = 1004636367 / 7
LCM(31689,31703) = 143519481

Least Common Multiple (LCM) of 31689 and 31703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31689 and 31703. First we will calculate the prime factors of 31689 and 31703.

Prime Factorization of 31689

Prime Factorization of 31703

Now multiplying the highest exponent prime factors to calculate the LCM of 31689 and 31703.

LCM(31689,31703) = 3² × 7² × 503¹ × 647¹
LCM(31689,31703) = 143519481