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What is the Least Common Multiple of 7878 and 7893?

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 7878 and 7893 is 20727018.

LCM(7878,7893) = 20727018

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Least Common Multiple of 7878 and 7893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7878 and 7893, than apply into the LCM equation.

GCF(7878,7893) = 3
LCM(7878,7893) = ( 7878 × 7893) / 3
LCM(7878,7893) = 62181054 / 3
LCM(7878,7893) = 20727018

Least Common Multiple (LCM) of 7878 and 7893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7878 and 7893. First we will calculate the prime factors of 7878 and 7893.

Prime Factorization of 7878

Prime factors of 7878 are 2, 3, 13, 101. Prime factorization of 7878 in exponential form is:

7878 = 21 × 31 × 131 × 1011

Prime Factorization of 7893

Prime factors of 7893 are 3, 877. Prime factorization of 7893 in exponential form is:

7893 = 32 × 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 7878 and 7893.

LCM(7878,7893) = 21 × 32 × 131 × 1011 × 8771
LCM(7878,7893) = 20727018