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What is the Least Common Multiple of 7887 and 7902?

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 7887 and 7902 is 20774358.

LCM(7887,7902) = 20774358

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Least Common Multiple of 7887 and 7902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7887 and 7902, than apply into the LCM equation.

GCF(7887,7902) = 3
LCM(7887,7902) = ( 7887 × 7902) / 3
LCM(7887,7902) = 62323074 / 3
LCM(7887,7902) = 20774358

Least Common Multiple (LCM) of 7887 and 7902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7887 and 7902. First we will calculate the prime factors of 7887 and 7902.

Prime Factorization of 7887

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

7887 = 31 × 111 × 2391

Prime Factorization of 7902

Prime factors of 7902 are 2, 3, 439. Prime factorization of 7902 in exponential form is:

7902 = 21 × 32 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 7887 and 7902.

LCM(7887,7902) = 32 × 111 × 2391 × 21 × 4391
LCM(7887,7902) = 20774358