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What is the Least Common Multiple of 7894 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 7894 and 7906 is 31204982.

LCM(7894,7906) = 31204982

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Least Common Multiple of 7894 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 7894 and 7906, than apply into the LCM equation.

GCF(7894,7906) = 2
LCM(7894,7906) = ( 7894 × 7906) / 2
LCM(7894,7906) = 62409964 / 2
LCM(7894,7906) = 31204982

Least Common Multiple (LCM) of 7894 and 7906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7894 and 7906. First we will calculate the prime factors of 7894 and 7906.

Prime Factorization of 7894

Prime factors of 7894 are 2, 3947. Prime factorization of 7894 in exponential form is:

7894 = 21 × 39471

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 7894 and 7906.

LCM(7894,7906) = 21 × 39471 × 591 × 671
LCM(7894,7906) = 31204982