What is the Least Common Multiple of 32588 and 32605?

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 32588 and 32605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32588 and 32605, than apply into the LCM equation.

GCF(32588,32605) = 1
LCM(32588,32605) = ( 32588 × 32605) / 1
LCM(32588,32605) = 1062531740 / 1
LCM(32588,32605) = 1062531740

Least Common Multiple (LCM) of 32588 and 32605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32588 and 32605. First we will calculate the prime factors of 32588 and 32605.

Prime Factorization of 32588

Prime Factorization of 32605

Now multiplying the highest exponent prime factors to calculate the LCM of 32588 and 32605.

LCM(32588,32605) = 2² × 8147¹ × 5¹ × 6521¹
LCM(32588,32605) = 1062531740