What is the Least Common Multiple of 80865 and 80882?

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 80865 and 80882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80865 and 80882, than apply into the LCM equation.

GCF(80865,80882) = 1
LCM(80865,80882) = ( 80865 × 80882) / 1
LCM(80865,80882) = 6540522930 / 1
LCM(80865,80882) = 6540522930

Least Common Multiple (LCM) of 80865 and 80882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80865 and 80882. First we will calculate the prime factors of 80865 and 80882.

Prime Factorization of 80865

Prime Factorization of 80882

Now multiplying the highest exponent prime factors to calculate the LCM of 80865 and 80882.

LCM(80865,80882) = 3³ × 5¹ × 599¹ × 2¹ × 37¹ × 1093¹
LCM(80865,80882) = 6540522930