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What is the Least Common Multiple of 11824 and 11836?

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 11824 and 11836 is 34987216.

LCM(11824,11836) = 34987216

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Least Common Multiple of 11824 and 11836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11824 and 11836, than apply into the LCM equation.

GCF(11824,11836) = 4
LCM(11824,11836) = ( 11824 × 11836) / 4
LCM(11824,11836) = 139948864 / 4
LCM(11824,11836) = 34987216

Least Common Multiple (LCM) of 11824 and 11836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11824 and 11836. First we will calculate the prime factors of 11824 and 11836.

Prime Factorization of 11824

Prime factors of 11824 are 2, 739. Prime factorization of 11824 in exponential form is:

11824 = 24 × 7391

Prime Factorization of 11836

Prime factors of 11836 are 2, 11, 269. Prime factorization of 11836 in exponential form is:

11836 = 22 × 111 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 11824 and 11836.

LCM(11824,11836) = 24 × 7391 × 111 × 2691
LCM(11824,11836) = 34987216