What is the Least Common Multiple of 14300 and 14304?

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 14300 and 14304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14300 and 14304, than apply into the LCM equation.

GCF(14300,14304) = 4
LCM(14300,14304) = ( 14300 × 14304) / 4
LCM(14300,14304) = 204547200 / 4
LCM(14300,14304) = 51136800

Least Common Multiple (LCM) of 14300 and 14304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14300 and 14304. First we will calculate the prime factors of 14300 and 14304.

Prime Factorization of 14300

Prime Factorization of 14304

Now multiplying the highest exponent prime factors to calculate the LCM of 14300 and 14304.

LCM(14300,14304) = 2⁵ × 5² × 11¹ × 13¹ × 3¹ × 149¹
LCM(14300,14304) = 51136800