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What is the Least Common Multiple of 11832 and 11847?

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 11832 and 11847 is 46724568.

LCM(11832,11847) = 46724568

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Least Common Multiple of 11832 and 11847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11832 and 11847, than apply into the LCM equation.

GCF(11832,11847) = 3
LCM(11832,11847) = ( 11832 × 11847) / 3
LCM(11832,11847) = 140173704 / 3
LCM(11832,11847) = 46724568

Least Common Multiple (LCM) of 11832 and 11847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11832 and 11847. First we will calculate the prime factors of 11832 and 11847.

Prime Factorization of 11832

Prime factors of 11832 are 2, 3, 17, 29. Prime factorization of 11832 in exponential form is:

11832 = 23 × 31 × 171 × 291

Prime Factorization of 11847

Prime factors of 11847 are 3, 11, 359. Prime factorization of 11847 in exponential form is:

11847 = 31 × 111 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 11832 and 11847.

LCM(11832,11847) = 23 × 31 × 171 × 291 × 111 × 3591
LCM(11832,11847) = 46724568