What is the Least Common Multiple of 82872 and 82877?

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 82877 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 82877, than apply into the LCM equation.

GCF(82872,82877) = 1
LCM(82872,82877) = ( 82872 × 82877) / 1
LCM(82872,82877) = 6868182744 / 1
LCM(82872,82877) = 6868182744

Least Common Multiple (LCM) of 82872 and 82877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82872 and 82877. First we will calculate the prime factors of 82872 and 82877.

Prime Factorization of 82872

Prime Factorization of 82877

Now multiplying the highest exponent prime factors to calculate the LCM of 82872 and 82877.

LCM(82872,82877) = 2³ × 3² × 1151¹ × 179¹ × 463¹
LCM(82872,82877) = 6868182744