What is the Least Common Multiple of 20034 and 20044?

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 20034 and 20044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20034 and 20044, than apply into the LCM equation.

GCF(20034,20044) = 2
LCM(20034,20044) = ( 20034 × 20044) / 2
LCM(20034,20044) = 401561496 / 2
LCM(20034,20044) = 200780748

Least Common Multiple (LCM) of 20034 and 20044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20034 and 20044. First we will calculate the prime factors of 20034 and 20044.

Prime Factorization of 20034

Prime Factorization of 20044

Now multiplying the highest exponent prime factors to calculate the LCM of 20034 and 20044.

LCM(20034,20044) = 2² × 3³ × 7¹ × 53¹ × 5011¹
LCM(20034,20044) = 200780748