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What is the Least Common Multiple of 51827 and 51836?

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 51827 and 51836 is 2686504372.

LCM(51827,51836) = 2686504372

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Least Common Multiple of 51827 and 51836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51827 and 51836, than apply into the LCM equation.

GCF(51827,51836) = 1
LCM(51827,51836) = ( 51827 × 51836) / 1
LCM(51827,51836) = 2686504372 / 1
LCM(51827,51836) = 2686504372

Least Common Multiple (LCM) of 51827 and 51836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51827 and 51836. First we will calculate the prime factors of 51827 and 51836.

Prime Factorization of 51827

Prime factors of 51827 are 51827. Prime factorization of 51827 in exponential form is:

51827 = 518271

Prime Factorization of 51836

Prime factors of 51836 are 2, 12959. Prime factorization of 51836 in exponential form is:

51836 = 22 × 129591

Now multiplying the highest exponent prime factors to calculate the LCM of 51827 and 51836.

LCM(51827,51836) = 518271 × 22 × 129591
LCM(51827,51836) = 2686504372