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What is the Least Common Multiple of 11118 and 11131?

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 11118 and 11131 is 123754458.

LCM(11118,11131) = 123754458

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Least Common Multiple of 11118 and 11131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11118 and 11131, than apply into the LCM equation.

GCF(11118,11131) = 1
LCM(11118,11131) = ( 11118 × 11131) / 1
LCM(11118,11131) = 123754458 / 1
LCM(11118,11131) = 123754458

Least Common Multiple (LCM) of 11118 and 11131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11118 and 11131. First we will calculate the prime factors of 11118 and 11131.

Prime Factorization of 11118

Prime factors of 11118 are 2, 3, 17, 109. Prime factorization of 11118 in exponential form is:

11118 = 21 × 31 × 171 × 1091

Prime Factorization of 11131

Prime factors of 11131 are 11131. Prime factorization of 11131 in exponential form is:

11131 = 111311

Now multiplying the highest exponent prime factors to calculate the LCM of 11118 and 11131.

LCM(11118,11131) = 21 × 31 × 171 × 1091 × 111311
LCM(11118,11131) = 123754458