What is the Least Common Multiple of 83728 and 83743?

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 83728 and 83743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83728 and 83743, than apply into the LCM equation.

GCF(83728,83743) = 1
LCM(83728,83743) = ( 83728 × 83743) / 1
LCM(83728,83743) = 7011633904 / 1
LCM(83728,83743) = 7011633904

Least Common Multiple (LCM) of 83728 and 83743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83728 and 83743. First we will calculate the prime factors of 83728 and 83743.

Prime Factorization of 83728

Prime Factorization of 83743

Now multiplying the highest exponent prime factors to calculate the LCM of 83728 and 83743.

LCM(83728,83743) = 2⁴ × 5233¹ × 11¹ × 23¹ × 331¹
LCM(83728,83743) = 7011633904