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What is the Least Common Multiple of 42877 and 42887?

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 42877 and 42887 is 1838865899.

LCM(42877,42887) = 1838865899

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Least Common Multiple of 42877 and 42887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42877 and 42887, than apply into the LCM equation.

GCF(42877,42887) = 1
LCM(42877,42887) = ( 42877 × 42887) / 1
LCM(42877,42887) = 1838865899 / 1
LCM(42877,42887) = 1838865899

Least Common Multiple (LCM) of 42877 and 42887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42877 and 42887. First we will calculate the prime factors of 42877 and 42887.

Prime Factorization of 42877

Prime factors of 42877 are 53, 809. Prime factorization of 42877 in exponential form is:

42877 = 531 × 8091

Prime Factorization of 42887

Prime factors of 42887 are 13, 3299. Prime factorization of 42887 in exponential form is:

42887 = 131 × 32991

Now multiplying the highest exponent prime factors to calculate the LCM of 42877 and 42887.

LCM(42877,42887) = 531 × 8091 × 131 × 32991
LCM(42877,42887) = 1838865899