What is the Least Common Multiple of 24306 and 24315?

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 24306 and 24315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24306 and 24315, than apply into the LCM equation.

GCF(24306,24315) = 3
LCM(24306,24315) = ( 24306 × 24315) / 3
LCM(24306,24315) = 591000390 / 3
LCM(24306,24315) = 197000130

Least Common Multiple (LCM) of 24306 and 24315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24306 and 24315. First we will calculate the prime factors of 24306 and 24315.

Prime Factorization of 24306

Prime Factorization of 24315

Now multiplying the highest exponent prime factors to calculate the LCM of 24306 and 24315.

LCM(24306,24315) = 2¹ × 3¹ × 4051¹ × 5¹ × 1621¹
LCM(24306,24315) = 197000130