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What is the Least Common Multiple of 11011 and 11027?

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 11011 and 11027 is 121418297.

LCM(11011,11027) = 121418297

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Least Common Multiple of 11011 and 11027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11011 and 11027, than apply into the LCM equation.

GCF(11011,11027) = 1
LCM(11011,11027) = ( 11011 × 11027) / 1
LCM(11011,11027) = 121418297 / 1
LCM(11011,11027) = 121418297

Least Common Multiple (LCM) of 11011 and 11027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11011 and 11027. First we will calculate the prime factors of 11011 and 11027.

Prime Factorization of 11011

Prime factors of 11011 are 7, 11, 13. Prime factorization of 11011 in exponential form is:

11011 = 71 × 112 × 131

Prime Factorization of 11027

Prime factors of 11027 are 11027. Prime factorization of 11027 in exponential form is:

11027 = 110271

Now multiplying the highest exponent prime factors to calculate the LCM of 11011 and 11027.

LCM(11011,11027) = 71 × 112 × 131 × 110271
LCM(11011,11027) = 121418297