What is the Least Common Multiple of 20032 and 20043?

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 20032 and 20043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20032 and 20043, than apply into the LCM equation.

GCF(20032,20043) = 1
LCM(20032,20043) = ( 20032 × 20043) / 1
LCM(20032,20043) = 401501376 / 1
LCM(20032,20043) = 401501376

Least Common Multiple (LCM) of 20032 and 20043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20032 and 20043. First we will calculate the prime factors of 20032 and 20043.

Prime Factorization of 20032

Prime Factorization of 20043

Now multiplying the highest exponent prime factors to calculate the LCM of 20032 and 20043.

LCM(20032,20043) = 2⁶ × 313¹ × 3² × 17¹ × 131¹
LCM(20032,20043) = 401501376