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What is the Least Common Multiple of 11242 and 11257?

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 11242 and 11257 is 126551194.

LCM(11242,11257) = 126551194

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Least Common Multiple of 11242 and 11257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11242 and 11257, than apply into the LCM equation.

GCF(11242,11257) = 1
LCM(11242,11257) = ( 11242 × 11257) / 1
LCM(11242,11257) = 126551194 / 1
LCM(11242,11257) = 126551194

Least Common Multiple (LCM) of 11242 and 11257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11242 and 11257. First we will calculate the prime factors of 11242 and 11257.

Prime Factorization of 11242

Prime factors of 11242 are 2, 7, 11, 73. Prime factorization of 11242 in exponential form is:

11242 = 21 × 71 × 111 × 731

Prime Factorization of 11257

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

11257 = 112571

Now multiplying the highest exponent prime factors to calculate the LCM of 11242 and 11257.

LCM(11242,11257) = 21 × 71 × 111 × 731 × 112571
LCM(11242,11257) = 126551194