What is the Least Common Multiple of 60306 and 60315?

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 60306 and 60315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60306 and 60315, than apply into the LCM equation.

GCF(60306,60315) = 3
LCM(60306,60315) = ( 60306 × 60315) / 3
LCM(60306,60315) = 3637356390 / 3
LCM(60306,60315) = 1212452130

Least Common Multiple (LCM) of 60306 and 60315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60306 and 60315. First we will calculate the prime factors of 60306 and 60315.

Prime Factorization of 60306

Prime Factorization of 60315

Now multiplying the highest exponent prime factors to calculate the LCM of 60306 and 60315.

LCM(60306,60315) = 2¹ × 3¹ × 19¹ × 23² × 5¹ × 4021¹
LCM(60306,60315) = 1212452130