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What is the Least Common Multiple of 52856 and 52862?

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 52856 and 52862 is 1397036936.

LCM(52856,52862) = 1397036936

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Least Common Multiple of 52856 and 52862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52856 and 52862, than apply into the LCM equation.

GCF(52856,52862) = 2
LCM(52856,52862) = ( 52856 × 52862) / 2
LCM(52856,52862) = 2794073872 / 2
LCM(52856,52862) = 1397036936

Least Common Multiple (LCM) of 52856 and 52862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52856 and 52862. First we will calculate the prime factors of 52856 and 52862.

Prime Factorization of 52856

Prime factors of 52856 are 2, 6607. Prime factorization of 52856 in exponential form is:

52856 = 23 × 66071

Prime Factorization of 52862

Prime factors of 52862 are 2, 26431. Prime factorization of 52862 in exponential form is:

52862 = 21 × 264311

Now multiplying the highest exponent prime factors to calculate the LCM of 52856 and 52862.

LCM(52856,52862) = 23 × 66071 × 264311
LCM(52856,52862) = 1397036936