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What is the Least Common Multiple of 11117 and 11130?

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 11130 is 123732210.

LCM(11117,11130) = 123732210

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Least Common Multiple of 11117 and 11130 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 11130, than apply into the LCM equation.

GCF(11117,11130) = 1
LCM(11117,11130) = ( 11117 × 11130) / 1
LCM(11117,11130) = 123732210 / 1
LCM(11117,11130) = 123732210

Least Common Multiple (LCM) of 11117 and 11130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11117 and 11130. First we will calculate the prime factors of 11117 and 11130.

Prime Factorization of 11117

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

11117 = 111171

Prime Factorization of 11130

Prime factors of 11130 are 2, 3, 5, 7, 53. Prime factorization of 11130 in exponential form is:

11130 = 21 × 31 × 51 × 71 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 11117 and 11130.

LCM(11117,11130) = 111171 × 21 × 31 × 51 × 71 × 531
LCM(11117,11130) = 123732210