What is the Least Common Multiple of 71691 and 71703?

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 71691 and 71703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71691 and 71703, than apply into the LCM equation.

GCF(71691,71703) = 3
LCM(71691,71703) = ( 71691 × 71703) / 3
LCM(71691,71703) = 5140459773 / 3
LCM(71691,71703) = 1713486591

Least Common Multiple (LCM) of 71691 and 71703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71691 and 71703. First we will calculate the prime factors of 71691 and 71703.

Prime Factorization of 71691

Prime Factorization of 71703

Now multiplying the highest exponent prime factors to calculate the LCM of 71691 and 71703.

LCM(71691,71703) = 3² × 23¹ × 1039¹ × 31¹ × 257¹
LCM(71691,71703) = 1713486591