What is the Least Common Multiple of 32545 and 32553?

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 32545 and 32553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32545 and 32553, than apply into the LCM equation.

GCF(32545,32553) = 1
LCM(32545,32553) = ( 32545 × 32553) / 1
LCM(32545,32553) = 1059437385 / 1
LCM(32545,32553) = 1059437385

Least Common Multiple (LCM) of 32545 and 32553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32545 and 32553. First we will calculate the prime factors of 32545 and 32553.

Prime Factorization of 32545

Prime Factorization of 32553

Now multiplying the highest exponent prime factors to calculate the LCM of 32545 and 32553.

LCM(32545,32553) = 5¹ × 23¹ × 283¹ × 3² × 3617¹
LCM(32545,32553) = 1059437385