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What is the Least Common Multiple of 10877 and 10887?

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 10877 and 10887 is 118417899.

LCM(10877,10887) = 118417899

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Least Common Multiple of 10877 and 10887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10877 and 10887, than apply into the LCM equation.

GCF(10877,10887) = 1
LCM(10877,10887) = ( 10877 × 10887) / 1
LCM(10877,10887) = 118417899 / 1
LCM(10877,10887) = 118417899

Least Common Multiple (LCM) of 10877 and 10887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10877 and 10887. First we will calculate the prime factors of 10877 and 10887.

Prime Factorization of 10877

Prime factors of 10877 are 73, 149. Prime factorization of 10877 in exponential form is:

10877 = 731 × 1491

Prime Factorization of 10887

Prime factors of 10887 are 3, 19, 191. Prime factorization of 10887 in exponential form is:

10887 = 31 × 191 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 10877 and 10887.

LCM(10877,10887) = 731 × 1491 × 31 × 191 × 1911
LCM(10877,10887) = 118417899