GCF and LCM Calculator Logo

What is the Least Common Multiple of 7896 and 7905?

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 7896 and 7905 is 20805960.

LCM(7896,7905) = 20805960

LCM Calculator and
and

Least Common Multiple of 7896 and 7905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7896 and 7905, than apply into the LCM equation.

GCF(7896,7905) = 3
LCM(7896,7905) = ( 7896 × 7905) / 3
LCM(7896,7905) = 62417880 / 3
LCM(7896,7905) = 20805960

Least Common Multiple (LCM) of 7896 and 7905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7896 and 7905. First we will calculate the prime factors of 7896 and 7905.

Prime Factorization of 7896

Prime factors of 7896 are 2, 3, 7, 47. Prime factorization of 7896 in exponential form is:

7896 = 23 × 31 × 71 × 471

Prime Factorization of 7905

Prime factors of 7905 are 3, 5, 17, 31. Prime factorization of 7905 in exponential form is:

7905 = 31 × 51 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 7896 and 7905.

LCM(7896,7905) = 23 × 31 × 71 × 471 × 51 × 171 × 311
LCM(7896,7905) = 20805960