What is the Least Common Multiple of 84591 and 84611?

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 84591 and 84611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84591 and 84611, than apply into the LCM equation.

GCF(84591,84611) = 1
LCM(84591,84611) = ( 84591 × 84611) / 1
LCM(84591,84611) = 7157329101 / 1
LCM(84591,84611) = 7157329101

Least Common Multiple (LCM) of 84591 and 84611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84591 and 84611. First we will calculate the prime factors of 84591 and 84611.

Prime Factorization of 84591

Prime Factorization of 84611

Now multiplying the highest exponent prime factors to calculate the LCM of 84591 and 84611.

LCM(84591,84611) = 3³ × 13¹ × 241¹ × 211¹ × 401¹
LCM(84591,84611) = 7157329101