What is the Least Common Multiple of 78306 and 78326?

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 78306 and 78326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78306 and 78326, than apply into the LCM equation.

GCF(78306,78326) = 2
LCM(78306,78326) = ( 78306 × 78326) / 2
LCM(78306,78326) = 6133395756 / 2
LCM(78306,78326) = 3066697878

Least Common Multiple (LCM) of 78306 and 78326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78306 and 78326. First we will calculate the prime factors of 78306 and 78326.

Prime Factorization of 78306

Prime Factorization of 78326

Now multiplying the highest exponent prime factors to calculate the LCM of 78306 and 78326.

LCM(78306,78326) = 2¹ × 3¹ × 31¹ × 421¹ × 39163¹
LCM(78306,78326) = 3066697878