What is the Least Common Multiple of 10989 and 11001?

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 10989 and 11001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10989 and 11001, than apply into the LCM equation.

GCF(10989,11001) = 3
LCM(10989,11001) = ( 10989 × 11001) / 3
LCM(10989,11001) = 120889989 / 3
LCM(10989,11001) = 40296663

Least Common Multiple (LCM) of 10989 and 11001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10989 and 11001. First we will calculate the prime factors of 10989 and 11001.

Prime Factorization of 10989

Prime Factorization of 11001

Now multiplying the highest exponent prime factors to calculate the LCM of 10989 and 11001.

LCM(10989,11001) = 3³ × 11¹ × 37¹ × 19¹ × 193¹
LCM(10989,11001) = 40296663