What is the Least Common Multiple of 7696 and 7709?

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 7709 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 7709, than apply into the LCM equation.

GCF(7696,7709) = 13
LCM(7696,7709) = ( 7696 × 7709) / 13
LCM(7696,7709) = 59328464 / 13
LCM(7696,7709) = 4563728

Least Common Multiple (LCM) of 7696 and 7709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7696 and 7709. First we will calculate the prime factors of 7696 and 7709.

Prime Factorization of 7696

Prime Factorization of 7709

Now multiplying the highest exponent prime factors to calculate the LCM of 7696 and 7709.

LCM(7696,7709) = 2⁴ × 13¹ × 37¹ × 593¹
LCM(7696,7709) = 4563728