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What is the Least Common Multiple of 11122 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 11122 and 11130 is 61893930.

LCM(11122,11130) = 61893930

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Least Common Multiple of 11122 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 11122 and 11130, than apply into the LCM equation.

GCF(11122,11130) = 2
LCM(11122,11130) = ( 11122 × 11130) / 2
LCM(11122,11130) = 123787860 / 2
LCM(11122,11130) = 61893930

Least Common Multiple (LCM) of 11122 and 11130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11122 and 11130. First we will calculate the prime factors of 11122 and 11130.

Prime Factorization of 11122

Prime factors of 11122 are 2, 67, 83. Prime factorization of 11122 in exponential form is:

11122 = 21 × 671 × 831

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 11122 and 11130.

LCM(11122,11130) = 21 × 671 × 831 × 31 × 51 × 71 × 531
LCM(11122,11130) = 61893930