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What is the Least Common Multiple of 11312 and 11323?

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 11312 and 11323 is 128085776.

LCM(11312,11323) = 128085776

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Least Common Multiple of 11312 and 11323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11312 and 11323, than apply into the LCM equation.

GCF(11312,11323) = 1
LCM(11312,11323) = ( 11312 × 11323) / 1
LCM(11312,11323) = 128085776 / 1
LCM(11312,11323) = 128085776

Least Common Multiple (LCM) of 11312 and 11323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11312 and 11323. First we will calculate the prime factors of 11312 and 11323.

Prime Factorization of 11312

Prime factors of 11312 are 2, 7, 101. Prime factorization of 11312 in exponential form is:

11312 = 24 × 71 × 1011

Prime Factorization of 11323

Prime factors of 11323 are 13, 67. Prime factorization of 11323 in exponential form is:

11323 = 132 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 11312 and 11323.

LCM(11312,11323) = 24 × 71 × 1011 × 132 × 671
LCM(11312,11323) = 128085776