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What is the Least Common Multiple of 11255 and 11262?

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 11255 and 11262 is 126753810.

LCM(11255,11262) = 126753810

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Least Common Multiple of 11255 and 11262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11255 and 11262, than apply into the LCM equation.

GCF(11255,11262) = 1
LCM(11255,11262) = ( 11255 × 11262) / 1
LCM(11255,11262) = 126753810 / 1
LCM(11255,11262) = 126753810

Least Common Multiple (LCM) of 11255 and 11262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11255 and 11262. First we will calculate the prime factors of 11255 and 11262.

Prime Factorization of 11255

Prime factors of 11255 are 5, 2251. Prime factorization of 11255 in exponential form is:

11255 = 51 × 22511

Prime Factorization of 11262

Prime factors of 11262 are 2, 3, 1877. Prime factorization of 11262 in exponential form is:

11262 = 21 × 31 × 18771

Now multiplying the highest exponent prime factors to calculate the LCM of 11255 and 11262.

LCM(11255,11262) = 51 × 22511 × 21 × 31 × 18771
LCM(11255,11262) = 126753810