What is the Least Common Multiple of 7689 and 7705?

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 7689 and 7705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7689 and 7705, than apply into the LCM equation.

GCF(7689,7705) = 1
LCM(7689,7705) = ( 7689 × 7705) / 1
LCM(7689,7705) = 59243745 / 1
LCM(7689,7705) = 59243745

Least Common Multiple (LCM) of 7689 and 7705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7689 and 7705. First we will calculate the prime factors of 7689 and 7705.

Prime Factorization of 7689

Prime Factorization of 7705

Now multiplying the highest exponent prime factors to calculate the LCM of 7689 and 7705.

LCM(7689,7705) = 3¹ × 11¹ × 233¹ × 5¹ × 23¹ × 67¹
LCM(7689,7705) = 59243745