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What is the Least Common Multiple of 7887 and 7906?

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 7906 is 62354622.

LCM(7887,7906) = 62354622

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Least Common Multiple of 7887 and 7906 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 7906, than apply into the LCM equation.

GCF(7887,7906) = 1
LCM(7887,7906) = ( 7887 × 7906) / 1
LCM(7887,7906) = 62354622 / 1
LCM(7887,7906) = 62354622

Least Common Multiple (LCM) of 7887 and 7906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7887 and 7906. First we will calculate the prime factors of 7887 and 7906.

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 7906

Prime factors of 7906 are 2, 59, 67. Prime factorization of 7906 in exponential form is:

7906 = 21 × 591 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 7887 and 7906.

LCM(7887,7906) = 31 × 111 × 2391 × 21 × 591 × 671
LCM(7887,7906) = 62354622