What is the Least Common Multiple of 32526 and 32539?

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 32526 and 32539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32526 and 32539, than apply into the LCM equation.

GCF(32526,32539) = 13
LCM(32526,32539) = ( 32526 × 32539) / 13
LCM(32526,32539) = 1058363514 / 13
LCM(32526,32539) = 81412578

Least Common Multiple (LCM) of 32526 and 32539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32526 and 32539. First we will calculate the prime factors of 32526 and 32539.

Prime Factorization of 32526

Prime Factorization of 32539

Now multiplying the highest exponent prime factors to calculate the LCM of 32526 and 32539.

LCM(32526,32539) = 2¹ × 3² × 13¹ × 139¹ × 2503¹
LCM(32526,32539) = 81412578