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What is the Least Common Multiple of 83781 and 83786?

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 83781 and 83786 is 7019674866.

LCM(83781,83786) = 7019674866

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Least Common Multiple of 83781 and 83786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83781 and 83786, than apply into the LCM equation.

GCF(83781,83786) = 1
LCM(83781,83786) = ( 83781 × 83786) / 1
LCM(83781,83786) = 7019674866 / 1
LCM(83781,83786) = 7019674866

Least Common Multiple (LCM) of 83781 and 83786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83781 and 83786. First we will calculate the prime factors of 83781 and 83786.

Prime Factorization of 83781

Prime factors of 83781 are 3, 29, 107. Prime factorization of 83781 in exponential form is:

83781 = 33 × 291 × 1071

Prime Factorization of 83786

Prime factors of 83786 are 2, 41893. Prime factorization of 83786 in exponential form is:

83786 = 21 × 418931

Now multiplying the highest exponent prime factors to calculate the LCM of 83781 and 83786.

LCM(83781,83786) = 33 × 291 × 1071 × 21 × 418931
LCM(83781,83786) = 7019674866