What is the Least Common Multiple of 30987 and 30999?

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 30987 and 30999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30987 and 30999, than apply into the LCM equation.

GCF(30987,30999) = 3
LCM(30987,30999) = ( 30987 × 30999) / 3
LCM(30987,30999) = 960566013 / 3
LCM(30987,30999) = 320188671

Least Common Multiple (LCM) of 30987 and 30999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30987 and 30999. First we will calculate the prime factors of 30987 and 30999.

Prime Factorization of 30987

Prime Factorization of 30999

Now multiplying the highest exponent prime factors to calculate the LCM of 30987 and 30999.

LCM(30987,30999) = 3² × 11¹ × 313¹ × 10333¹
LCM(30987,30999) = 320188671