What is the Least Common Multiple of 15270 and 15286?

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 15270 and 15286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15270 and 15286, than apply into the LCM equation.

GCF(15270,15286) = 2
LCM(15270,15286) = ( 15270 × 15286) / 2
LCM(15270,15286) = 233417220 / 2
LCM(15270,15286) = 116708610

Least Common Multiple (LCM) of 15270 and 15286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15270 and 15286. First we will calculate the prime factors of 15270 and 15286.

Prime Factorization of 15270

Prime Factorization of 15286

Now multiplying the highest exponent prime factors to calculate the LCM of 15270 and 15286.

LCM(15270,15286) = 2¹ × 3¹ × 5¹ × 509¹ × 7643¹
LCM(15270,15286) = 116708610