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What is the Least Common Multiple of 11732 and 11740?

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 11740 is 34433420.

LCM(11732,11740) = 34433420

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Least Common Multiple of 11732 and 11740 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 11740, than apply into the LCM equation.

GCF(11732,11740) = 4
LCM(11732,11740) = ( 11732 × 11740) / 4
LCM(11732,11740) = 137733680 / 4
LCM(11732,11740) = 34433420

Least Common Multiple (LCM) of 11732 and 11740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11732 and 11740. First we will calculate the prime factors of 11732 and 11740.

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 11740

Prime factors of 11740 are 2, 5, 587. Prime factorization of 11740 in exponential form is:

11740 = 22 × 51 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 11732 and 11740.

LCM(11732,11740) = 22 × 71 × 4191 × 51 × 5871
LCM(11732,11740) = 34433420