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What is the Least Common Multiple of 53876 and 53887?

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 53876 and 53887 is 2903216012.

LCM(53876,53887) = 2903216012

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Least Common Multiple of 53876 and 53887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53876 and 53887, than apply into the LCM equation.

GCF(53876,53887) = 1
LCM(53876,53887) = ( 53876 × 53887) / 1
LCM(53876,53887) = 2903216012 / 1
LCM(53876,53887) = 2903216012

Least Common Multiple (LCM) of 53876 and 53887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53876 and 53887. First we will calculate the prime factors of 53876 and 53887.

Prime Factorization of 53876

Prime factors of 53876 are 2, 13469. Prime factorization of 53876 in exponential form is:

53876 = 22 × 134691

Prime Factorization of 53887

Prime factors of 53887 are 53887. Prime factorization of 53887 in exponential form is:

53887 = 538871

Now multiplying the highest exponent prime factors to calculate the LCM of 53876 and 53887.

LCM(53876,53887) = 22 × 134691 × 538871
LCM(53876,53887) = 2903216012