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What is the Least Common Multiple of 11253 and 11273?

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 11253 and 11273 is 126855069.

LCM(11253,11273) = 126855069

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Least Common Multiple of 11253 and 11273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11253 and 11273, than apply into the LCM equation.

GCF(11253,11273) = 1
LCM(11253,11273) = ( 11253 × 11273) / 1
LCM(11253,11273) = 126855069 / 1
LCM(11253,11273) = 126855069

Least Common Multiple (LCM) of 11253 and 11273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11253 and 11273. First we will calculate the prime factors of 11253 and 11273.

Prime Factorization of 11253

Prime factors of 11253 are 3, 11, 31. Prime factorization of 11253 in exponential form is:

11253 = 31 × 112 × 311

Prime Factorization of 11273

Prime factors of 11273 are 11273. Prime factorization of 11273 in exponential form is:

11273 = 112731

Now multiplying the highest exponent prime factors to calculate the LCM of 11253 and 11273.

LCM(11253,11273) = 31 × 112 × 311 × 112731
LCM(11253,11273) = 126855069