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What is the Least Common Multiple of 8878 and 8885?

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 8878 and 8885 is 78881030.

LCM(8878,8885) = 78881030

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Least Common Multiple of 8878 and 8885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8878 and 8885, than apply into the LCM equation.

GCF(8878,8885) = 1
LCM(8878,8885) = ( 8878 × 8885) / 1
LCM(8878,8885) = 78881030 / 1
LCM(8878,8885) = 78881030

Least Common Multiple (LCM) of 8878 and 8885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8878 and 8885. First we will calculate the prime factors of 8878 and 8885.

Prime Factorization of 8878

Prime factors of 8878 are 2, 23, 193. Prime factorization of 8878 in exponential form is:

8878 = 21 × 231 × 1931

Prime Factorization of 8885

Prime factors of 8885 are 5, 1777. Prime factorization of 8885 in exponential form is:

8885 = 51 × 17771

Now multiplying the highest exponent prime factors to calculate the LCM of 8878 and 8885.

LCM(8878,8885) = 21 × 231 × 1931 × 51 × 17771
LCM(8878,8885) = 78881030