What is the Least Common Multiple of 32045 and 32065?

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 32045 and 32065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32045 and 32065, than apply into the LCM equation.

GCF(32045,32065) = 5
LCM(32045,32065) = ( 32045 × 32065) / 5
LCM(32045,32065) = 1027522925 / 5
LCM(32045,32065) = 205504585

Least Common Multiple (LCM) of 32045 and 32065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32045 and 32065. First we will calculate the prime factors of 32045 and 32065.

Prime Factorization of 32045

Prime Factorization of 32065

Now multiplying the highest exponent prime factors to calculate the LCM of 32045 and 32065.

LCM(32045,32065) = 5¹ × 13¹ × 17¹ × 29¹ × 11² × 53¹
LCM(32045,32065) = 205504585