What is the Least Common Multiple of 20008 and 20014?

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 20008 and 20014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20008 and 20014, than apply into the LCM equation.

GCF(20008,20014) = 2
LCM(20008,20014) = ( 20008 × 20014) / 2
LCM(20008,20014) = 400440112 / 2
LCM(20008,20014) = 200220056

Least Common Multiple (LCM) of 20008 and 20014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20008 and 20014. First we will calculate the prime factors of 20008 and 20014.

Prime Factorization of 20008

Prime Factorization of 20014

Now multiplying the highest exponent prime factors to calculate the LCM of 20008 and 20014.

LCM(20008,20014) = 2³ × 41¹ × 61¹ × 10007¹
LCM(20008,20014) = 200220056