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What is the Least Common Multiple of 11732 and 11747?

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 11732 and 11747 is 137815804.

LCM(11732,11747) = 137815804

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Least Common Multiple of 11732 and 11747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11732 and 11747, than apply into the LCM equation.

GCF(11732,11747) = 1
LCM(11732,11747) = ( 11732 × 11747) / 1
LCM(11732,11747) = 137815804 / 1
LCM(11732,11747) = 137815804

Least Common Multiple (LCM) of 11732 and 11747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11732 and 11747. First we will calculate the prime factors of 11732 and 11747.

Prime Factorization of 11732

Prime factors of 11732 are 2, 7, 419. Prime factorization of 11732 in exponential form is:

11732 = 22 × 71 × 4191

Prime Factorization of 11747

Prime factors of 11747 are 17, 691. Prime factorization of 11747 in exponential form is:

11747 = 171 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 11732 and 11747.

LCM(11732,11747) = 22 × 71 × 4191 × 171 × 6911
LCM(11732,11747) = 137815804