What is the Least Common Multiple of 72867 and 72882?

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 72867 and 72882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72867 and 72882, than apply into the LCM equation.

GCF(72867,72882) = 3
LCM(72867,72882) = ( 72867 × 72882) / 3
LCM(72867,72882) = 5310692694 / 3
LCM(72867,72882) = 1770230898

Least Common Multiple (LCM) of 72867 and 72882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72867 and 72882. First we will calculate the prime factors of 72867 and 72882.

Prime Factorization of 72867

Prime Factorization of 72882

Now multiplying the highest exponent prime factors to calculate the LCM of 72867 and 72882.

LCM(72867,72882) = 3² × 107¹ × 227¹ × 2¹ × 4049¹
LCM(72867,72882) = 1770230898