What is the Least Common Multiple of 78726 and 78743?

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 78726 and 78743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78726 and 78743, than apply into the LCM equation.

GCF(78726,78743) = 1
LCM(78726,78743) = ( 78726 × 78743) / 1
LCM(78726,78743) = 6199121418 / 1
LCM(78726,78743) = 6199121418

Least Common Multiple (LCM) of 78726 and 78743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78726 and 78743. First we will calculate the prime factors of 78726 and 78743.

Prime Factorization of 78726

Prime Factorization of 78743

Now multiplying the highest exponent prime factors to calculate the LCM of 78726 and 78743.

LCM(78726,78743) = 2¹ × 3¹ × 13121¹ × 7² × 1607¹
LCM(78726,78743) = 6199121418