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What is the Least Common Multiple of 11102 and 11119?

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 11102 and 11119 is 123443138.

LCM(11102,11119) = 123443138

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Least Common Multiple of 11102 and 11119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11102 and 11119, than apply into the LCM equation.

GCF(11102,11119) = 1
LCM(11102,11119) = ( 11102 × 11119) / 1
LCM(11102,11119) = 123443138 / 1
LCM(11102,11119) = 123443138

Least Common Multiple (LCM) of 11102 and 11119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11102 and 11119. First we will calculate the prime factors of 11102 and 11119.

Prime Factorization of 11102

Prime factors of 11102 are 2, 7, 13, 61. Prime factorization of 11102 in exponential form is:

11102 = 21 × 71 × 131 × 611

Prime Factorization of 11119

Prime factors of 11119 are 11119. Prime factorization of 11119 in exponential form is:

11119 = 111191

Now multiplying the highest exponent prime factors to calculate the LCM of 11102 and 11119.

LCM(11102,11119) = 21 × 71 × 131 × 611 × 111191
LCM(11102,11119) = 123443138