What is the Least Common Multiple of 7696 and 7712?

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 of 7696 and 7712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7696 and 7712, than apply into the LCM equation.

GCF(7696,7712) = 16
LCM(7696,7712) = ( 7696 × 7712) / 16
LCM(7696,7712) = 59351552 / 16
LCM(7696,7712) = 3709472

Least Common Multiple (LCM) of 7696 and 7712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7696 and 7712. First we will calculate the prime factors of 7696 and 7712.

Prime Factorization of 7696

Prime Factorization of 7712

Now multiplying the highest exponent prime factors to calculate the LCM of 7696 and 7712.

LCM(7696,7712) = 2⁵ × 13¹ × 37¹ × 241¹
LCM(7696,7712) = 3709472