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What is the Least Common Multiple of 11011 and 11023?

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 11023 is 121374253.

LCM(11011,11023) = 121374253

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Least Common Multiple of 11011 and 11023 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 11023, than apply into the LCM equation.

GCF(11011,11023) = 1
LCM(11011,11023) = ( 11011 × 11023) / 1
LCM(11011,11023) = 121374253 / 1
LCM(11011,11023) = 121374253

Least Common Multiple (LCM) of 11011 and 11023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11011 and 11023. First we will calculate the prime factors of 11011 and 11023.

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 11023

Prime factors of 11023 are 73, 151. Prime factorization of 11023 in exponential form is:

11023 = 731 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 11011 and 11023.

LCM(11011,11023) = 71 × 112 × 131 × 731 × 1511
LCM(11011,11023) = 121374253