What is the Least Common Multiple of 71729 and 71743?

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 71729 and 71743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71729 and 71743, than apply into the LCM equation.

GCF(71729,71743) = 7
LCM(71729,71743) = ( 71729 × 71743) / 7
LCM(71729,71743) = 5146053647 / 7
LCM(71729,71743) = 735150521

Least Common Multiple (LCM) of 71729 and 71743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71729 and 71743. First we will calculate the prime factors of 71729 and 71743.

Prime Factorization of 71729

Prime Factorization of 71743

Now multiplying the highest exponent prime factors to calculate the LCM of 71729 and 71743.

LCM(71729,71743) = 7¹ × 10247¹ × 37¹ × 277¹
LCM(71729,71743) = 735150521