What is the Least Common Multiple of 82872 and 82887?

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 82872 and 82887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82872 and 82887, than apply into the LCM equation.

GCF(82872,82887) = 3
LCM(82872,82887) = ( 82872 × 82887) / 3
LCM(82872,82887) = 6869011464 / 3
LCM(82872,82887) = 2289670488

Least Common Multiple (LCM) of 82872 and 82887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82872 and 82887. First we will calculate the prime factors of 82872 and 82887.

Prime Factorization of 82872

Prime Factorization of 82887

Now multiplying the highest exponent prime factors to calculate the LCM of 82872 and 82887.

LCM(82872,82887) = 2³ × 3² × 1151¹ × 7¹ × 3947¹
LCM(82872,82887) = 2289670488