What is the Least Common Multiple of 80591 and 80611?

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 80591 and 80611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80591 and 80611, than apply into the LCM equation.

GCF(80591,80611) = 1
LCM(80591,80611) = ( 80591 × 80611) / 1
LCM(80591,80611) = 6496521101 / 1
LCM(80591,80611) = 6496521101

Least Common Multiple (LCM) of 80591 and 80611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80591 and 80611. First we will calculate the prime factors of 80591 and 80611.

Prime Factorization of 80591

Prime Factorization of 80611

Now multiplying the highest exponent prime factors to calculate the LCM of 80591 and 80611.

LCM(80591,80611) = 7¹ × 29¹ × 397¹ × 80611¹
LCM(80591,80611) = 6496521101