What is the Least Common Multiple of 20300 and 20304?

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 20300 and 20304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20300 and 20304, than apply into the LCM equation.

GCF(20300,20304) = 4
LCM(20300,20304) = ( 20300 × 20304) / 4
LCM(20300,20304) = 412171200 / 4
LCM(20300,20304) = 103042800

Least Common Multiple (LCM) of 20300 and 20304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20300 and 20304. First we will calculate the prime factors of 20300 and 20304.

Prime Factorization of 20300

Prime Factorization of 20304

Now multiplying the highest exponent prime factors to calculate the LCM of 20300 and 20304.

LCM(20300,20304) = 2⁴ × 5² × 7¹ × 29¹ × 3³ × 47¹
LCM(20300,20304) = 103042800