What is the Least Common Multiple of 32524 and 32536?

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 32524 and 32536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32524 and 32536, than apply into the LCM equation.

GCF(32524,32536) = 4
LCM(32524,32536) = ( 32524 × 32536) / 4
LCM(32524,32536) = 1058200864 / 4
LCM(32524,32536) = 264550216

Least Common Multiple (LCM) of 32524 and 32536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32524 and 32536. First we will calculate the prime factors of 32524 and 32536.

Prime Factorization of 32524

Prime Factorization of 32536

Now multiplying the highest exponent prime factors to calculate the LCM of 32524 and 32536.

LCM(32524,32536) = 2³ × 47¹ × 173¹ × 7² × 83¹
LCM(32524,32536) = 264550216