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What is the Least Common Multiple of 11203 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 11203 and 11207 is 125552021.

LCM(11203,11207) = 125552021

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Least Common Multiple of 11203 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 11203 and 11207, than apply into the LCM equation.

GCF(11203,11207) = 1
LCM(11203,11207) = ( 11203 × 11207) / 1
LCM(11203,11207) = 125552021 / 1
LCM(11203,11207) = 125552021

Least Common Multiple (LCM) of 11203 and 11207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11203 and 11207. First we will calculate the prime factors of 11203 and 11207.

Prime Factorization of 11203

Prime factors of 11203 are 17, 659. Prime factorization of 11203 in exponential form is:

11203 = 171 × 6591

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 11203 and 11207.

LCM(11203,11207) = 171 × 6591 × 71 × 16011
LCM(11203,11207) = 125552021