What is the Least Common Multiple of 981 and 999?

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 981 and 999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 981 and 999, than apply into the LCM equation.

GCF(981,999) = 9
LCM(981,999) = ( 981 × 999) / 9
LCM(981,999) = 980019 / 9
LCM(981,999) = 108891

Least Common Multiple (LCM) of 981 and 999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 981 and 999. First we will calculate the prime factors of 981 and 999.

Prime Factorization of 981

Prime Factorization of 999

Now multiplying the highest exponent prime factors to calculate the LCM of 981 and 999.

LCM(981,999) = 3³ × 109¹ × 37¹
LCM(981,999) = 108891