What is the Least Common Multiple of 60267 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 60267 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 60267 and 60284, than apply into the LCM equation.

GCF(60267,60284) = 1
LCM(60267,60284) = ( 60267 × 60284) / 1
LCM(60267,60284) = 3633135828 / 1
LCM(60267,60284) = 3633135828

Least Common Multiple (LCM) of 60267 and 60284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60267 and 60284. First we will calculate the prime factors of 60267 and 60284.

Prime Factorization of 60267

Prime Factorization of 60284

Now multiplying the highest exponent prime factors to calculate the LCM of 60267 and 60284.

LCM(60267,60284) = 3¹ × 20089¹ × 2² × 7¹ × 2153¹
LCM(60267,60284) = 3633135828