What is the Least Common Multiple of 71721 and 71734?

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 71721 and 71734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71721 and 71734, than apply into the LCM equation.

GCF(71721,71734) = 13
LCM(71721,71734) = ( 71721 × 71734) / 13
LCM(71721,71734) = 5144834214 / 13
LCM(71721,71734) = 395756478

Least Common Multiple (LCM) of 71721 and 71734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71721 and 71734. First we will calculate the prime factors of 71721 and 71734.

Prime Factorization of 71721

Prime Factorization of 71734

Now multiplying the highest exponent prime factors to calculate the LCM of 71721 and 71734.

LCM(71721,71734) = 3² × 13¹ × 613¹ × 2¹ × 31¹ × 89¹
LCM(71721,71734) = 395756478