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What is the Least Common Multiple of 11117 and 11129?

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 11117 and 11129 is 123721093.

LCM(11117,11129) = 123721093

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Least Common Multiple of 11117 and 11129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11117 and 11129, than apply into the LCM equation.

GCF(11117,11129) = 1
LCM(11117,11129) = ( 11117 × 11129) / 1
LCM(11117,11129) = 123721093 / 1
LCM(11117,11129) = 123721093

Least Common Multiple (LCM) of 11117 and 11129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11117 and 11129. First we will calculate the prime factors of 11117 and 11129.

Prime Factorization of 11117

Prime factors of 11117 are 11117. Prime factorization of 11117 in exponential form is:

11117 = 111171

Prime Factorization of 11129

Prime factors of 11129 are 31, 359. Prime factorization of 11129 in exponential form is:

11129 = 311 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 11117 and 11129.

LCM(11117,11129) = 111171 × 311 × 3591
LCM(11117,11129) = 123721093