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What is the Least Common Multiple of 36364 and 36383?

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 36364 and 36383 is 1323031412.

LCM(36364,36383) = 1323031412

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Least Common Multiple of 36364 and 36383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36364 and 36383, than apply into the LCM equation.

GCF(36364,36383) = 1
LCM(36364,36383) = ( 36364 × 36383) / 1
LCM(36364,36383) = 1323031412 / 1
LCM(36364,36383) = 1323031412

Least Common Multiple (LCM) of 36364 and 36383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36364 and 36383. First we will calculate the prime factors of 36364 and 36383.

Prime Factorization of 36364

Prime factors of 36364 are 2, 9091. Prime factorization of 36364 in exponential form is:

36364 = 22 × 90911

Prime Factorization of 36383

Prime factors of 36383 are 36383. Prime factorization of 36383 in exponential form is:

36383 = 363831

Now multiplying the highest exponent prime factors to calculate the LCM of 36364 and 36383.

LCM(36364,36383) = 22 × 90911 × 363831
LCM(36364,36383) = 1323031412