What is the Least Common Multiple of 98872 and 98881?

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 98872 and 98881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98872 and 98881, than apply into the LCM equation.

GCF(98872,98881) = 1
LCM(98872,98881) = ( 98872 × 98881) / 1
LCM(98872,98881) = 9776562232 / 1
LCM(98872,98881) = 9776562232

Least Common Multiple (LCM) of 98872 and 98881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98872 and 98881. First we will calculate the prime factors of 98872 and 98881.

Prime Factorization of 98872

Prime Factorization of 98881

Now multiplying the highest exponent prime factors to calculate the LCM of 98872 and 98881.

LCM(98872,98881) = 2³ × 17¹ × 727¹ × 61¹ × 1621¹
LCM(98872,98881) = 9776562232