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What is the Least Common Multiple of 36886 and 36901?

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 36886 and 36901 is 1361130286.

LCM(36886,36901) = 1361130286

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Least Common Multiple of 36886 and 36901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36886 and 36901, than apply into the LCM equation.

GCF(36886,36901) = 1
LCM(36886,36901) = ( 36886 × 36901) / 1
LCM(36886,36901) = 1361130286 / 1
LCM(36886,36901) = 1361130286

Least Common Multiple (LCM) of 36886 and 36901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36886 and 36901. First we will calculate the prime factors of 36886 and 36901.

Prime Factorization of 36886

Prime factors of 36886 are 2, 18443. Prime factorization of 36886 in exponential form is:

36886 = 21 × 184431

Prime Factorization of 36901

Prime factors of 36901 are 36901. Prime factorization of 36901 in exponential form is:

36901 = 369011

Now multiplying the highest exponent prime factors to calculate the LCM of 36886 and 36901.

LCM(36886,36901) = 21 × 184431 × 369011
LCM(36886,36901) = 1361130286