What is the Least Common Multiple of 18300 and 18304?

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 18300 and 18304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18300 and 18304, than apply into the LCM equation.

GCF(18300,18304) = 4
LCM(18300,18304) = ( 18300 × 18304) / 4
LCM(18300,18304) = 334963200 / 4
LCM(18300,18304) = 83740800

Least Common Multiple (LCM) of 18300 and 18304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18300 and 18304. First we will calculate the prime factors of 18300 and 18304.

Prime Factorization of 18300

Prime Factorization of 18304

Now multiplying the highest exponent prime factors to calculate the LCM of 18300 and 18304.

LCM(18300,18304) = 2⁷ × 3¹ × 5² × 61¹ × 11¹ × 13¹
LCM(18300,18304) = 83740800