What is the Least Common Multiple of 60728 and 60745?

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 60728 and 60745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60728 and 60745, than apply into the LCM equation.

GCF(60728,60745) = 1
LCM(60728,60745) = ( 60728 × 60745) / 1
LCM(60728,60745) = 3688922360 / 1
LCM(60728,60745) = 3688922360

Least Common Multiple (LCM) of 60728 and 60745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60728 and 60745. First we will calculate the prime factors of 60728 and 60745.

Prime Factorization of 60728

Prime Factorization of 60745

Now multiplying the highest exponent prime factors to calculate the LCM of 60728 and 60745.

LCM(60728,60745) = 2³ × 7591¹ × 5¹ × 12149¹
LCM(60728,60745) = 3688922360