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What is the Least Common Multiple of 11109 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 11109 and 11129 is 123632061.

LCM(11109,11129) = 123632061

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Least Common Multiple of 11109 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 11109 and 11129, than apply into the LCM equation.

GCF(11109,11129) = 1
LCM(11109,11129) = ( 11109 × 11129) / 1
LCM(11109,11129) = 123632061 / 1
LCM(11109,11129) = 123632061

Least Common Multiple (LCM) of 11109 and 11129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11109 and 11129. First we will calculate the prime factors of 11109 and 11129.

Prime Factorization of 11109

Prime factors of 11109 are 3, 7, 23. Prime factorization of 11109 in exponential form is:

11109 = 31 × 71 × 232

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 11109 and 11129.

LCM(11109,11129) = 31 × 71 × 232 × 311 × 3591
LCM(11109,11129) = 123632061