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What is the Least Common Multiple of 18861 and 18878?

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 18861 and 18878 is 356057958.

LCM(18861,18878) = 356057958

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Least Common Multiple of 18861 and 18878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18861 and 18878, than apply into the LCM equation.

GCF(18861,18878) = 1
LCM(18861,18878) = ( 18861 × 18878) / 1
LCM(18861,18878) = 356057958 / 1
LCM(18861,18878) = 356057958

Least Common Multiple (LCM) of 18861 and 18878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18861 and 18878. First we will calculate the prime factors of 18861 and 18878.

Prime Factorization of 18861

Prime factors of 18861 are 3, 6287. Prime factorization of 18861 in exponential form is:

18861 = 31 × 62871

Prime Factorization of 18878

Prime factors of 18878 are 2, 9439. Prime factorization of 18878 in exponential form is:

18878 = 21 × 94391

Now multiplying the highest exponent prime factors to calculate the LCM of 18861 and 18878.

LCM(18861,18878) = 31 × 62871 × 21 × 94391
LCM(18861,18878) = 356057958