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What is the Least Common Multiple of 52887 and 52903?

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 52887 and 52903 is 2797880961.

LCM(52887,52903) = 2797880961

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Least Common Multiple of 52887 and 52903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52887 and 52903, than apply into the LCM equation.

GCF(52887,52903) = 1
LCM(52887,52903) = ( 52887 × 52903) / 1
LCM(52887,52903) = 2797880961 / 1
LCM(52887,52903) = 2797880961

Least Common Multiple (LCM) of 52887 and 52903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52887 and 52903. First we will calculate the prime factors of 52887 and 52903.

Prime Factorization of 52887

Prime factors of 52887 are 3, 17, 61. Prime factorization of 52887 in exponential form is:

52887 = 31 × 172 × 611

Prime Factorization of 52903

Prime factors of 52903 are 52903. Prime factorization of 52903 in exponential form is:

52903 = 529031

Now multiplying the highest exponent prime factors to calculate the LCM of 52887 and 52903.

LCM(52887,52903) = 31 × 172 × 611 × 529031
LCM(52887,52903) = 2797880961