What is the Least Common Multiple of 14835 and 14850?

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 14835 and 14850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14835 and 14850, than apply into the LCM equation.

GCF(14835,14850) = 15
LCM(14835,14850) = ( 14835 × 14850) / 15
LCM(14835,14850) = 220299750 / 15
LCM(14835,14850) = 14686650

Least Common Multiple (LCM) of 14835 and 14850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14835 and 14850. First we will calculate the prime factors of 14835 and 14850.

Prime Factorization of 14835

Prime Factorization of 14850

Now multiplying the highest exponent prime factors to calculate the LCM of 14835 and 14850.

LCM(14835,14850) = 3³ × 5² × 23¹ × 43¹ × 2¹ × 11¹
LCM(14835,14850) = 14686650