What is the Least Common Multiple of 14823 and 14840?

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 14823 and 14840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14823 and 14840, than apply into the LCM equation.

GCF(14823,14840) = 1
LCM(14823,14840) = ( 14823 × 14840) / 1
LCM(14823,14840) = 219973320 / 1
LCM(14823,14840) = 219973320

Least Common Multiple (LCM) of 14823 and 14840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14823 and 14840. First we will calculate the prime factors of 14823 and 14840.

Prime Factorization of 14823

Prime Factorization of 14840

Now multiplying the highest exponent prime factors to calculate the LCM of 14823 and 14840.

LCM(14823,14840) = 3⁵ × 61¹ × 2³ × 5¹ × 7¹ × 53¹
LCM(14823,14840) = 219973320