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What is the Least Common Multiple of 11232 and 11251?

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 11232 and 11251 is 126371232.

LCM(11232,11251) = 126371232

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Least Common Multiple of 11232 and 11251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11232 and 11251, than apply into the LCM equation.

GCF(11232,11251) = 1
LCM(11232,11251) = ( 11232 × 11251) / 1
LCM(11232,11251) = 126371232 / 1
LCM(11232,11251) = 126371232

Least Common Multiple (LCM) of 11232 and 11251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11232 and 11251. First we will calculate the prime factors of 11232 and 11251.

Prime Factorization of 11232

Prime factors of 11232 are 2, 3, 13. Prime factorization of 11232 in exponential form is:

11232 = 25 × 33 × 131

Prime Factorization of 11251

Prime factors of 11251 are 11251. Prime factorization of 11251 in exponential form is:

11251 = 112511

Now multiplying the highest exponent prime factors to calculate the LCM of 11232 and 11251.

LCM(11232,11251) = 25 × 33 × 131 × 112511
LCM(11232,11251) = 126371232