What is the Least Common Multiple of 15252 and 15270?

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 15252 and 15270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15252 and 15270, than apply into the LCM equation.

GCF(15252,15270) = 6
LCM(15252,15270) = ( 15252 × 15270) / 6
LCM(15252,15270) = 232898040 / 6
LCM(15252,15270) = 38816340

Least Common Multiple (LCM) of 15252 and 15270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15252 and 15270. First we will calculate the prime factors of 15252 and 15270.

Prime Factorization of 15252

Prime Factorization of 15270

Now multiplying the highest exponent prime factors to calculate the LCM of 15252 and 15270.

LCM(15252,15270) = 2² × 3¹ × 31¹ × 41¹ × 5¹ × 509¹
LCM(15252,15270) = 38816340