What is the Least Common Multiple of 60243 and 60255?

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 60243 and 60255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60243 and 60255, than apply into the LCM equation.

GCF(60243,60255) = 3
LCM(60243,60255) = ( 60243 × 60255) / 3
LCM(60243,60255) = 3629941965 / 3
LCM(60243,60255) = 1209980655

Least Common Multiple (LCM) of 60243 and 60255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60243 and 60255. First we will calculate the prime factors of 60243 and 60255.

Prime Factorization of 60243

Prime Factorization of 60255

Now multiplying the highest exponent prime factors to calculate the LCM of 60243 and 60255.

LCM(60243,60255) = 3² × 43¹ × 467¹ × 5¹ × 13¹ × 103¹
LCM(60243,60255) = 1209980655