What is the Least Common Multiple of 60723 and 60741?

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 60723 and 60741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60723 and 60741, than apply into the LCM equation.

GCF(60723,60741) = 9
LCM(60723,60741) = ( 60723 × 60741) / 9
LCM(60723,60741) = 3688375743 / 9
LCM(60723,60741) = 409819527

Least Common Multiple (LCM) of 60723 and 60741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60723 and 60741. First we will calculate the prime factors of 60723 and 60741.

Prime Factorization of 60723

Prime Factorization of 60741

Now multiplying the highest exponent prime factors to calculate the LCM of 60723 and 60741.

LCM(60723,60741) = 3³ × 13¹ × 173¹ × 17¹ × 397¹
LCM(60723,60741) = 409819527