What is the Least Common Multiple of 32005 and 32021?

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 32005 and 32021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32005 and 32021, than apply into the LCM equation.

GCF(32005,32021) = 1
LCM(32005,32021) = ( 32005 × 32021) / 1
LCM(32005,32021) = 1024832105 / 1
LCM(32005,32021) = 1024832105

Least Common Multiple (LCM) of 32005 and 32021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32005 and 32021. First we will calculate the prime factors of 32005 and 32021.

Prime Factorization of 32005

Prime Factorization of 32021

Now multiplying the highest exponent prime factors to calculate the LCM of 32005 and 32021.

LCM(32005,32021) = 5¹ × 37¹ × 173¹ × 11¹ × 41¹ × 71¹
LCM(32005,32021) = 1024832105