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What is the Least Common Multiple of 83740 and 83756?

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 83740 and 83756 is 1753431860.

LCM(83740,83756) = 1753431860

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Least Common Multiple of 83740 and 83756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83740 and 83756, than apply into the LCM equation.

GCF(83740,83756) = 4
LCM(83740,83756) = ( 83740 × 83756) / 4
LCM(83740,83756) = 7013727440 / 4
LCM(83740,83756) = 1753431860

Least Common Multiple (LCM) of 83740 and 83756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83740 and 83756. First we will calculate the prime factors of 83740 and 83756.

Prime Factorization of 83740

Prime factors of 83740 are 2, 5, 53, 79. Prime factorization of 83740 in exponential form is:

83740 = 22 × 51 × 531 × 791

Prime Factorization of 83756

Prime factors of 83756 are 2, 20939. Prime factorization of 83756 in exponential form is:

83756 = 22 × 209391

Now multiplying the highest exponent prime factors to calculate the LCM of 83740 and 83756.

LCM(83740,83756) = 22 × 51 × 531 × 791 × 209391
LCM(83740,83756) = 1753431860