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What is the Least Common Multiple of 11257 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 11257 and 11273 is 126900161.

LCM(11257,11273) = 126900161

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Least Common Multiple of 11257 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 11257 and 11273, than apply into the LCM equation.

GCF(11257,11273) = 1
LCM(11257,11273) = ( 11257 × 11273) / 1
LCM(11257,11273) = 126900161 / 1
LCM(11257,11273) = 126900161

Least Common Multiple (LCM) of 11257 and 11273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11257 and 11273. First we will calculate the prime factors of 11257 and 11273.

Prime Factorization of 11257

Prime factors of 11257 are 11257. Prime factorization of 11257 in exponential form is:

11257 = 112571

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 11257 and 11273.

LCM(11257,11273) = 112571 × 112731
LCM(11257,11273) = 126900161