What is the Least Common Multiple of 32528 and 32546?

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 32528 and 32546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32528 and 32546, than apply into the LCM equation.

GCF(32528,32546) = 2
LCM(32528,32546) = ( 32528 × 32546) / 2
LCM(32528,32546) = 1058656288 / 2
LCM(32528,32546) = 529328144

Least Common Multiple (LCM) of 32528 and 32546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32528 and 32546. First we will calculate the prime factors of 32528 and 32546.

Prime Factorization of 32528

Prime Factorization of 32546

Now multiplying the highest exponent prime factors to calculate the LCM of 32528 and 32546.

LCM(32528,32546) = 2⁴ × 19¹ × 107¹ × 16273¹
LCM(32528,32546) = 529328144