What is the Least Common Multiple of 20088 and 20103?

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 20088 and 20103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20088 and 20103, than apply into the LCM equation.

GCF(20088,20103) = 3
LCM(20088,20103) = ( 20088 × 20103) / 3
LCM(20088,20103) = 403829064 / 3
LCM(20088,20103) = 134609688

Least Common Multiple (LCM) of 20088 and 20103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20088 and 20103. First we will calculate the prime factors of 20088 and 20103.

Prime Factorization of 20088

Prime Factorization of 20103

Now multiplying the highest exponent prime factors to calculate the LCM of 20088 and 20103.

LCM(20088,20103) = 2³ × 3⁴ × 31¹ × 6701¹
LCM(20088,20103) = 134609688