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What is the Least Common Multiple of 10990 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 (LCM) of 10990 and 11001 is 120900990.

LCM(10990,11001) = 120900990

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Least Common Multiple of 10990 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 10990 and 11001, than apply into the LCM equation.

GCF(10990,11001) = 1
LCM(10990,11001) = ( 10990 × 11001) / 1
LCM(10990,11001) = 120900990 / 1
LCM(10990,11001) = 120900990

Least Common Multiple (LCM) of 10990 and 11001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10990 and 11001. First we will calculate the prime factors of 10990 and 11001.

Prime Factorization of 10990

Prime factors of 10990 are 2, 5, 7, 157. Prime factorization of 10990 in exponential form is:

10990 = 21 × 51 × 71 × 1571

Prime Factorization of 11001

Prime factors of 11001 are 3, 19, 193. Prime factorization of 11001 in exponential form is:

11001 = 31 × 191 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 10990 and 11001.

LCM(10990,11001) = 21 × 51 × 71 × 1571 × 31 × 191 × 1931
LCM(10990,11001) = 120900990