What is the Least Common Multiple of 20014 and 20024?

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 20014 and 20024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20014 and 20024, than apply into the LCM equation.

GCF(20014,20024) = 2
LCM(20014,20024) = ( 20014 × 20024) / 2
LCM(20014,20024) = 400760336 / 2
LCM(20014,20024) = 200380168

Least Common Multiple (LCM) of 20014 and 20024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20014 and 20024. First we will calculate the prime factors of 20014 and 20024.

Prime Factorization of 20014

Prime Factorization of 20024

Now multiplying the highest exponent prime factors to calculate the LCM of 20014 and 20024.

LCM(20014,20024) = 2³ × 10007¹ × 2503¹
LCM(20014,20024) = 200380168