What is the Least Common Multiple of 7705 and 7724?

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 7705 and 7724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7705 and 7724, than apply into the LCM equation.

GCF(7705,7724) = 1
LCM(7705,7724) = ( 7705 × 7724) / 1
LCM(7705,7724) = 59513420 / 1
LCM(7705,7724) = 59513420

Least Common Multiple (LCM) of 7705 and 7724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7705 and 7724. First we will calculate the prime factors of 7705 and 7724.

Prime Factorization of 7705

Prime Factorization of 7724

Now multiplying the highest exponent prime factors to calculate the LCM of 7705 and 7724.

LCM(7705,7724) = 5¹ × 23¹ × 67¹ × 2² × 1931¹
LCM(7705,7724) = 59513420