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What is the Least Common Multiple of 7875 and 7887?

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 7875 and 7887 is 20703375.

LCM(7875,7887) = 20703375

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Least Common Multiple of 7875 and 7887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7875 and 7887, than apply into the LCM equation.

GCF(7875,7887) = 3
LCM(7875,7887) = ( 7875 × 7887) / 3
LCM(7875,7887) = 62110125 / 3
LCM(7875,7887) = 20703375

Least Common Multiple (LCM) of 7875 and 7887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7875 and 7887. First we will calculate the prime factors of 7875 and 7887.

Prime Factorization of 7875

Prime factors of 7875 are 3, 5, 7. Prime factorization of 7875 in exponential form is:

7875 = 32 × 53 × 71

Prime Factorization of 7887

Prime factors of 7887 are 3, 11, 239. Prime factorization of 7887 in exponential form is:

7887 = 31 × 111 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 7875 and 7887.

LCM(7875,7887) = 32 × 53 × 71 × 111 × 2391
LCM(7875,7887) = 20703375