What is the Least Common Multiple of 72726 and 72743?

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 72726 and 72743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72726 and 72743, than apply into the LCM equation.

GCF(72726,72743) = 17
LCM(72726,72743) = ( 72726 × 72743) / 17
LCM(72726,72743) = 5290307418 / 17
LCM(72726,72743) = 311194554

Least Common Multiple (LCM) of 72726 and 72743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72726 and 72743. First we will calculate the prime factors of 72726 and 72743.

Prime Factorization of 72726

Prime Factorization of 72743

Now multiplying the highest exponent prime factors to calculate the LCM of 72726 and 72743.

LCM(72726,72743) = 2¹ × 3¹ × 17¹ × 23¹ × 31¹ × 11¹ × 389¹
LCM(72726,72743) = 311194554