What is the Least Common Multiple of 81981 and 81997?

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 81981 and 81997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81981 and 81997, than apply into the LCM equation.

GCF(81981,81997) = 1
LCM(81981,81997) = ( 81981 × 81997) / 1
LCM(81981,81997) = 6722196057 / 1
LCM(81981,81997) = 6722196057

Least Common Multiple (LCM) of 81981 and 81997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81981 and 81997. First we will calculate the prime factors of 81981 and 81997.

Prime Factorization of 81981

Prime Factorization of 81997

Now multiplying the highest exponent prime factors to calculate the LCM of 81981 and 81997.

LCM(81981,81997) = 3² × 9109¹ × 167¹ × 491¹
LCM(81981,81997) = 6722196057