What is the Least Common Multiple of 78591 and 78611?

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 78591 and 78611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78591 and 78611, than apply into the LCM equation.

GCF(78591,78611) = 1
LCM(78591,78611) = ( 78591 × 78611) / 1
LCM(78591,78611) = 6178117101 / 1
LCM(78591,78611) = 6178117101

Least Common Multiple (LCM) of 78591 and 78611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78591 and 78611. First we will calculate the prime factors of 78591 and 78611.

Prime Factorization of 78591

Prime Factorization of 78611

Now multiplying the highest exponent prime factors to calculate the LCM of 78591 and 78611.

LCM(78591,78611) = 3¹ × 17¹ × 23¹ × 67¹ × 13¹ × 6047¹
LCM(78591,78611) = 6178117101