What is the Least Common Multiple of 71723 and 71742?

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 71723 and 71742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71723 and 71742, than apply into the LCM equation.

GCF(71723,71742) = 1
LCM(71723,71742) = ( 71723 × 71742) / 1
LCM(71723,71742) = 5145551466 / 1
LCM(71723,71742) = 5145551466

Least Common Multiple (LCM) of 71723 and 71742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71723 and 71742. First we will calculate the prime factors of 71723 and 71742.

Prime Factorization of 71723

Prime Factorization of 71742

Now multiplying the highest exponent prime factors to calculate the LCM of 71723 and 71742.

LCM(71723,71742) = 17¹ × 4219¹ × 2¹ × 3¹ × 11¹ × 1087¹
LCM(71723,71742) = 5145551466