What is the Least Common Multiple of 90981 and 90997?

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 90981 and 90997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90981 and 90997, than apply into the LCM equation.

GCF(90981,90997) = 1
LCM(90981,90997) = ( 90981 × 90997) / 1
LCM(90981,90997) = 8278998057 / 1
LCM(90981,90997) = 8278998057

Least Common Multiple (LCM) of 90981 and 90997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90981 and 90997. First we will calculate the prime factors of 90981 and 90997.

Prime Factorization of 90981

Prime Factorization of 90997

Now multiplying the highest exponent prime factors to calculate the LCM of 90981 and 90997.

LCM(90981,90997) = 3² × 11¹ × 919¹ × 90997¹
LCM(90981,90997) = 8278998057