What is the Least Common Multiple of 81872 and 81882?

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 81872 and 81882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81872 and 81882, than apply into the LCM equation.

GCF(81872,81882) = 2
LCM(81872,81882) = ( 81872 × 81882) / 2
LCM(81872,81882) = 6703843104 / 2
LCM(81872,81882) = 3351921552

Least Common Multiple (LCM) of 81872 and 81882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81872 and 81882. First we will calculate the prime factors of 81872 and 81882.

Prime Factorization of 81872

Prime Factorization of 81882

Now multiplying the highest exponent prime factors to calculate the LCM of 81872 and 81882.

LCM(81872,81882) = 2⁴ × 7¹ × 17¹ × 43¹ × 3² × 4549¹
LCM(81872,81882) = 3351921552