GCF and LCM Calculator Logo

What is the Least Common Multiple of 8696 and 8712?

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 8696 and 8712 is 9469944.

LCM(8696,8712) = 9469944

LCM Calculator and
and

Least Common Multiple of 8696 and 8712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8696 and 8712, than apply into the LCM equation.

GCF(8696,8712) = 8
LCM(8696,8712) = ( 8696 × 8712) / 8
LCM(8696,8712) = 75759552 / 8
LCM(8696,8712) = 9469944

Least Common Multiple (LCM) of 8696 and 8712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8696 and 8712. First we will calculate the prime factors of 8696 and 8712.

Prime Factorization of 8696

Prime factors of 8696 are 2, 1087. Prime factorization of 8696 in exponential form is:

8696 = 23 × 10871

Prime Factorization of 8712

Prime factors of 8712 are 2, 3, 11. Prime factorization of 8712 in exponential form is:

8712 = 23 × 32 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 8696 and 8712.

LCM(8696,8712) = 23 × 10871 × 32 × 112
LCM(8696,8712) = 9469944