What is the Least Common Multiple of 14850 and 14854?

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 14854 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 14854, than apply into the LCM equation.

GCF(14850,14854) = 2
LCM(14850,14854) = ( 14850 × 14854) / 2
LCM(14850,14854) = 220581900 / 2
LCM(14850,14854) = 110290950

Least Common Multiple (LCM) of 14850 and 14854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14850 and 14854. First we will calculate the prime factors of 14850 and 14854.

Prime Factorization of 14850

Prime Factorization of 14854

Now multiplying the highest exponent prime factors to calculate the LCM of 14850 and 14854.

LCM(14850,14854) = 2¹ × 3³ × 5² × 11¹ × 7¹ × 1061¹
LCM(14850,14854) = 110290950