What is the Least Common Multiple of 60705 and 60723?

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 60705 and 60723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60705 and 60723, than apply into the LCM equation.

GCF(60705,60723) = 9
LCM(60705,60723) = ( 60705 × 60723) / 9
LCM(60705,60723) = 3686189715 / 9
LCM(60705,60723) = 409576635

Least Common Multiple (LCM) of 60705 and 60723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60705 and 60723. First we will calculate the prime factors of 60705 and 60723.

Prime Factorization of 60705

Prime Factorization of 60723

Now multiplying the highest exponent prime factors to calculate the LCM of 60705 and 60723.

LCM(60705,60723) = 3³ × 5¹ × 19¹ × 71¹ × 13¹ × 173¹
LCM(60705,60723) = 409576635