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What is the Least Common Multiple of 11001 and 11014?

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 11001 and 11014 is 121165014.

LCM(11001,11014) = 121165014

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Least Common Multiple of 11001 and 11014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11001 and 11014, than apply into the LCM equation.

GCF(11001,11014) = 1
LCM(11001,11014) = ( 11001 × 11014) / 1
LCM(11001,11014) = 121165014 / 1
LCM(11001,11014) = 121165014

Least Common Multiple (LCM) of 11001 and 11014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11001 and 11014. First we will calculate the prime factors of 11001 and 11014.

Prime Factorization of 11001

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

11001 = 31 × 191 × 1931

Prime Factorization of 11014

Prime factors of 11014 are 2, 5507. Prime factorization of 11014 in exponential form is:

11014 = 21 × 55071

Now multiplying the highest exponent prime factors to calculate the LCM of 11001 and 11014.

LCM(11001,11014) = 31 × 191 × 1931 × 21 × 55071
LCM(11001,11014) = 121165014