What is the Least Common Multiple of 78306 and 78317?

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 78317 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 78317, than apply into the LCM equation.

GCF(78306,78317) = 1
LCM(78306,78317) = ( 78306 × 78317) / 1
LCM(78306,78317) = 6132691002 / 1
LCM(78306,78317) = 6132691002

Least Common Multiple (LCM) of 78306 and 78317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78306 and 78317. First we will calculate the prime factors of 78306 and 78317.

Prime Factorization of 78306

Prime Factorization of 78317

Now multiplying the highest exponent prime factors to calculate the LCM of 78306 and 78317.

LCM(78306,78317) = 2¹ × 3¹ × 31¹ × 421¹ × 78317¹
LCM(78306,78317) = 6132691002