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What is the Least Common Multiple of 36851 and 36858?

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 36851 and 36858 is 1358254158.

LCM(36851,36858) = 1358254158

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Least Common Multiple of 36851 and 36858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36851 and 36858, than apply into the LCM equation.

GCF(36851,36858) = 1
LCM(36851,36858) = ( 36851 × 36858) / 1
LCM(36851,36858) = 1358254158 / 1
LCM(36851,36858) = 1358254158

Least Common Multiple (LCM) of 36851 and 36858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36851 and 36858. First we will calculate the prime factors of 36851 and 36858.

Prime Factorization of 36851

Prime factors of 36851 are 43, 857. Prime factorization of 36851 in exponential form is:

36851 = 431 × 8571

Prime Factorization of 36858

Prime factors of 36858 are 2, 3, 6143. Prime factorization of 36858 in exponential form is:

36858 = 21 × 31 × 61431

Now multiplying the highest exponent prime factors to calculate the LCM of 36851 and 36858.

LCM(36851,36858) = 431 × 8571 × 21 × 31 × 61431
LCM(36851,36858) = 1358254158