What is the Least Common Multiple of 12699 and 12703?

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 12699 and 12703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12699 and 12703, than apply into the LCM equation.

GCF(12699,12703) = 1
LCM(12699,12703) = ( 12699 × 12703) / 1
LCM(12699,12703) = 161315397 / 1
LCM(12699,12703) = 161315397

Least Common Multiple (LCM) of 12699 and 12703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12699 and 12703. First we will calculate the prime factors of 12699 and 12703.

Prime Factorization of 12699

Prime Factorization of 12703

Now multiplying the highest exponent prime factors to calculate the LCM of 12699 and 12703.

LCM(12699,12703) = 3² × 17¹ × 83¹ × 12703¹
LCM(12699,12703) = 161315397