What is the Least Common Multiple of 75561 and 75573?

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 75561 and 75573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75561 and 75573, than apply into the LCM equation.

GCF(75561,75573) = 3
LCM(75561,75573) = ( 75561 × 75573) / 3
LCM(75561,75573) = 5710371453 / 3
LCM(75561,75573) = 1903457151

Least Common Multiple (LCM) of 75561 and 75573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75561 and 75573. First we will calculate the prime factors of 75561 and 75573.

Prime Factorization of 75561

Prime Factorization of 75573

Now multiplying the highest exponent prime factors to calculate the LCM of 75561 and 75573.

LCM(75561,75573) = 3⁵ × 89¹ × 283¹ × 311¹
LCM(75561,75573) = 1903457151