What is the Least Common Multiple of 78723 and 78741?

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 78723 and 78741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78723 and 78741, than apply into the LCM equation.

GCF(78723,78741) = 9
LCM(78723,78741) = ( 78723 × 78741) / 9
LCM(78723,78741) = 6198727743 / 9
LCM(78723,78741) = 688747527

Least Common Multiple (LCM) of 78723 and 78741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78723 and 78741. First we will calculate the prime factors of 78723 and 78741.

Prime Factorization of 78723

Prime Factorization of 78741

Now multiplying the highest exponent prime factors to calculate the LCM of 78723 and 78741.

LCM(78723,78741) = 3² × 8747¹ × 13¹ × 673¹
LCM(78723,78741) = 688747527