What is the Least Common Multiple of 57459 and 57465?

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 57459 and 57465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57459 and 57465, than apply into the LCM equation.

GCF(57459,57465) = 3
LCM(57459,57465) = ( 57459 × 57465) / 3
LCM(57459,57465) = 3301881435 / 3
LCM(57459,57465) = 1100627145

Least Common Multiple (LCM) of 57459 and 57465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57459 and 57465. First we will calculate the prime factors of 57459 and 57465.

Prime Factorization of 57459

Prime Factorization of 57465

Now multiplying the highest exponent prime factors to calculate the LCM of 57459 and 57465.

LCM(57459,57465) = 3² × 107¹ × 179¹ × 5¹ × 1277¹
LCM(57459,57465) = 1100627145