What is the Least Common Multiple of 15705 and 15723?

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 15705 and 15723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15705 and 15723, than apply into the LCM equation.

GCF(15705,15723) = 9
LCM(15705,15723) = ( 15705 × 15723) / 9
LCM(15705,15723) = 246929715 / 9
LCM(15705,15723) = 27436635

Least Common Multiple (LCM) of 15705 and 15723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15705 and 15723. First we will calculate the prime factors of 15705 and 15723.

Prime Factorization of 15705

Prime Factorization of 15723

Now multiplying the highest exponent prime factors to calculate the LCM of 15705 and 15723.

LCM(15705,15723) = 3² × 5¹ × 349¹ × 1747¹
LCM(15705,15723) = 27436635