GCF and LCM Calculator Logo

What is the Least Common Multiple of 7916 and 7934?

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 7916 and 7934 is 31402772.

LCM(7916,7934) = 31402772

LCM Calculator and
and

Least Common Multiple of 7916 and 7934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7916 and 7934, than apply into the LCM equation.

GCF(7916,7934) = 2
LCM(7916,7934) = ( 7916 × 7934) / 2
LCM(7916,7934) = 62805544 / 2
LCM(7916,7934) = 31402772

Least Common Multiple (LCM) of 7916 and 7934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7916 and 7934. First we will calculate the prime factors of 7916 and 7934.

Prime Factorization of 7916

Prime factors of 7916 are 2, 1979. Prime factorization of 7916 in exponential form is:

7916 = 22 × 19791

Prime Factorization of 7934

Prime factors of 7934 are 2, 3967. Prime factorization of 7934 in exponential form is:

7934 = 21 × 39671

Now multiplying the highest exponent prime factors to calculate the LCM of 7916 and 7934.

LCM(7916,7934) = 22 × 19791 × 39671
LCM(7916,7934) = 31402772