What is the Least Common Multiple of 14850 and 14867?

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 14850 and 14867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14850 and 14867, than apply into the LCM equation.

GCF(14850,14867) = 1
LCM(14850,14867) = ( 14850 × 14867) / 1
LCM(14850,14867) = 220774950 / 1
LCM(14850,14867) = 220774950

Least Common Multiple (LCM) of 14850 and 14867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14850 and 14867. First we will calculate the prime factors of 14850 and 14867.

Prime Factorization of 14850

Prime Factorization of 14867

Now multiplying the highest exponent prime factors to calculate the LCM of 14850 and 14867.

LCM(14850,14867) = 2¹ × 3³ × 5² × 11¹ × 14867¹
LCM(14850,14867) = 220774950