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What is the Least Common Multiple of 11189 and 11207?

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 11189 and 11207 is 125395123.

LCM(11189,11207) = 125395123

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Least Common Multiple of 11189 and 11207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11189 and 11207, than apply into the LCM equation.

GCF(11189,11207) = 1
LCM(11189,11207) = ( 11189 × 11207) / 1
LCM(11189,11207) = 125395123 / 1
LCM(11189,11207) = 125395123

Least Common Multiple (LCM) of 11189 and 11207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11189 and 11207. First we will calculate the prime factors of 11189 and 11207.

Prime Factorization of 11189

Prime factors of 11189 are 67, 167. Prime factorization of 11189 in exponential form is:

11189 = 671 × 1671

Prime Factorization of 11207

Prime factors of 11207 are 7, 1601. Prime factorization of 11207 in exponential form is:

11207 = 71 × 16011

Now multiplying the highest exponent prime factors to calculate the LCM of 11189 and 11207.

LCM(11189,11207) = 671 × 1671 × 71 × 16011
LCM(11189,11207) = 125395123