What is the Least Common Multiple of 32505 and 32513?

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 32505 and 32513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32505 and 32513, than apply into the LCM equation.

GCF(32505,32513) = 1
LCM(32505,32513) = ( 32505 × 32513) / 1
LCM(32505,32513) = 1056835065 / 1
LCM(32505,32513) = 1056835065

Least Common Multiple (LCM) of 32505 and 32513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32505 and 32513. First we will calculate the prime factors of 32505 and 32513.

Prime Factorization of 32505

Prime Factorization of 32513

Now multiplying the highest exponent prime factors to calculate the LCM of 32505 and 32513.

LCM(32505,32513) = 3¹ × 5¹ × 11¹ × 197¹ × 13¹ × 41¹ × 61¹
LCM(32505,32513) = 1056835065