What is the Least Common Multiple of 54705 and 54723?

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 54705 and 54723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54705 and 54723, than apply into the LCM equation.

GCF(54705,54723) = 3
LCM(54705,54723) = ( 54705 × 54723) / 3
LCM(54705,54723) = 2993621715 / 3
LCM(54705,54723) = 997873905

Least Common Multiple (LCM) of 54705 and 54723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54705 and 54723. First we will calculate the prime factors of 54705 and 54723.

Prime Factorization of 54705

Prime Factorization of 54723

Now multiplying the highest exponent prime factors to calculate the LCM of 54705 and 54723.

LCM(54705,54723) = 3¹ × 5¹ × 7¹ × 521¹ × 17¹ × 29¹ × 37¹
LCM(54705,54723) = 997873905