What is the Least Common Multiple of 57575 and 57584?

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 57575 and 57584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57575 and 57584, than apply into the LCM equation.

GCF(57575,57584) = 1
LCM(57575,57584) = ( 57575 × 57584) / 1
LCM(57575,57584) = 3315398800 / 1
LCM(57575,57584) = 3315398800

Least Common Multiple (LCM) of 57575 and 57584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57575 and 57584. First we will calculate the prime factors of 57575 and 57584.

Prime Factorization of 57575

Prime Factorization of 57584

Now multiplying the highest exponent prime factors to calculate the LCM of 57575 and 57584.

LCM(57575,57584) = 5² × 7² × 47¹ × 2⁴ × 59¹ × 61¹
LCM(57575,57584) = 3315398800