What is the Least Common Multiple of 32554 and 32573?

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 32554 and 32573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32554 and 32573, than apply into the LCM equation.

GCF(32554,32573) = 1
LCM(32554,32573) = ( 32554 × 32573) / 1
LCM(32554,32573) = 1060381442 / 1
LCM(32554,32573) = 1060381442

Least Common Multiple (LCM) of 32554 and 32573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32554 and 32573. First we will calculate the prime factors of 32554 and 32573.

Prime Factorization of 32554

Prime Factorization of 32573

Now multiplying the highest exponent prime factors to calculate the LCM of 32554 and 32573.

LCM(32554,32573) = 2¹ × 41¹ × 397¹ × 32573¹
LCM(32554,32573) = 1060381442