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What is the Least Common Multiple of 52858 and 52876?

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 52858 and 52876 is 1397459804.

LCM(52858,52876) = 1397459804

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Least Common Multiple of 52858 and 52876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52858 and 52876, than apply into the LCM equation.

GCF(52858,52876) = 2
LCM(52858,52876) = ( 52858 × 52876) / 2
LCM(52858,52876) = 2794919608 / 2
LCM(52858,52876) = 1397459804

Least Common Multiple (LCM) of 52858 and 52876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52858 and 52876. First we will calculate the prime factors of 52858 and 52876.

Prime Factorization of 52858

Prime factors of 52858 are 2, 13, 19, 107. Prime factorization of 52858 in exponential form is:

52858 = 21 × 131 × 191 × 1071

Prime Factorization of 52876

Prime factors of 52876 are 2, 13219. Prime factorization of 52876 in exponential form is:

52876 = 22 × 132191

Now multiplying the highest exponent prime factors to calculate the LCM of 52858 and 52876.

LCM(52858,52876) = 22 × 131 × 191 × 1071 × 132191
LCM(52858,52876) = 1397459804