What is the Least Common Multiple of 15240 and 15245?

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 15240 and 15245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15240 and 15245, than apply into the LCM equation.

GCF(15240,15245) = 5
LCM(15240,15245) = ( 15240 × 15245) / 5
LCM(15240,15245) = 232333800 / 5
LCM(15240,15245) = 46466760

Least Common Multiple (LCM) of 15240 and 15245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15240 and 15245. First we will calculate the prime factors of 15240 and 15245.

Prime Factorization of 15240

Prime Factorization of 15245

Now multiplying the highest exponent prime factors to calculate the LCM of 15240 and 15245.

LCM(15240,15245) = 2³ × 3¹ × 5¹ × 127¹ × 3049¹
LCM(15240,15245) = 46466760