What is the Least Common Multiple of 60279 and 60285?

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 60279 and 60285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60279 and 60285, than apply into the LCM equation.

GCF(60279,60285) = 3
LCM(60279,60285) = ( 60279 × 60285) / 3
LCM(60279,60285) = 3633919515 / 3
LCM(60279,60285) = 1211306505

Least Common Multiple (LCM) of 60279 and 60285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60279 and 60285. First we will calculate the prime factors of 60279 and 60285.

Prime Factorization of 60279

Prime Factorization of 60285

Now multiplying the highest exponent prime factors to calculate the LCM of 60279 and 60285.

LCM(60279,60285) = 3¹ × 71¹ × 283¹ × 5¹ × 4019¹
LCM(60279,60285) = 1211306505