What is the Least Common Multiple of 32525 and 32543?

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 32525 and 32543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32525 and 32543, than apply into the LCM equation.

GCF(32525,32543) = 1
LCM(32525,32543) = ( 32525 × 32543) / 1
LCM(32525,32543) = 1058461075 / 1
LCM(32525,32543) = 1058461075

Least Common Multiple (LCM) of 32525 and 32543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32525 and 32543. First we will calculate the prime factors of 32525 and 32543.

Prime Factorization of 32525

Prime Factorization of 32543

Now multiplying the highest exponent prime factors to calculate the LCM of 32525 and 32543.

LCM(32525,32543) = 5² × 1301¹ × 7¹ × 4649¹
LCM(32525,32543) = 1058461075