What is the Least Common Multiple of 60252 and 60270?

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 60252 and 60270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60252 and 60270, than apply into the LCM equation.

GCF(60252,60270) = 6
LCM(60252,60270) = ( 60252 × 60270) / 6
LCM(60252,60270) = 3631388040 / 6
LCM(60252,60270) = 605231340

Least Common Multiple (LCM) of 60252 and 60270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60252 and 60270. First we will calculate the prime factors of 60252 and 60270.

Prime Factorization of 60252

Prime Factorization of 60270

Now multiplying the highest exponent prime factors to calculate the LCM of 60252 and 60270.

LCM(60252,60270) = 2² × 3¹ × 5021¹ × 5¹ × 7² × 41¹
LCM(60252,60270) = 605231340