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What is the Least Common Multiple of 36853 and 36863?

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 36853 and 36863 is 1358512139.

LCM(36853,36863) = 1358512139

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Least Common Multiple of 36853 and 36863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36853 and 36863, than apply into the LCM equation.

GCF(36853,36863) = 1
LCM(36853,36863) = ( 36853 × 36863) / 1
LCM(36853,36863) = 1358512139 / 1
LCM(36853,36863) = 1358512139

Least Common Multiple (LCM) of 36853 and 36863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36853 and 36863. First we will calculate the prime factors of 36853 and 36863.

Prime Factorization of 36853

Prime factors of 36853 are 137, 269. Prime factorization of 36853 in exponential form is:

36853 = 1371 × 2691

Prime Factorization of 36863

Prime factors of 36863 are 191, 193. Prime factorization of 36863 in exponential form is:

36863 = 1911 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 36853 and 36863.

LCM(36853,36863) = 1371 × 2691 × 1911 × 1931
LCM(36853,36863) = 1358512139