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What is the Least Common Multiple of 37861 and 37866?

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 37861 and 37866 is 1433644626.

LCM(37861,37866) = 1433644626

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Least Common Multiple of 37861 and 37866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37861 and 37866, than apply into the LCM equation.

GCF(37861,37866) = 1
LCM(37861,37866) = ( 37861 × 37866) / 1
LCM(37861,37866) = 1433644626 / 1
LCM(37861,37866) = 1433644626

Least Common Multiple (LCM) of 37861 and 37866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37861 and 37866. First we will calculate the prime factors of 37861 and 37866.

Prime Factorization of 37861

Prime factors of 37861 are 37861. Prime factorization of 37861 in exponential form is:

37861 = 378611

Prime Factorization of 37866

Prime factors of 37866 are 2, 3, 6311. Prime factorization of 37866 in exponential form is:

37866 = 21 × 31 × 63111

Now multiplying the highest exponent prime factors to calculate the LCM of 37861 and 37866.

LCM(37861,37866) = 378611 × 21 × 31 × 63111
LCM(37861,37866) = 1433644626