What is the Least Common Multiple of 60268 and 60284?

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 60268 and 60284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60268 and 60284, than apply into the LCM equation.

GCF(60268,60284) = 4
LCM(60268,60284) = ( 60268 × 60284) / 4
LCM(60268,60284) = 3633196112 / 4
LCM(60268,60284) = 908299028

Least Common Multiple (LCM) of 60268 and 60284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60268 and 60284. First we will calculate the prime factors of 60268 and 60284.

Prime Factorization of 60268

Prime Factorization of 60284

Now multiplying the highest exponent prime factors to calculate the LCM of 60268 and 60284.

LCM(60268,60284) = 2² × 13¹ × 19¹ × 61¹ × 7¹ × 2153¹
LCM(60268,60284) = 908299028