What is the Least Common Multiple of 57105 and 57125?

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 57105 and 57125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57105 and 57125, than apply into the LCM equation.

GCF(57105,57125) = 5
LCM(57105,57125) = ( 57105 × 57125) / 5
LCM(57105,57125) = 3262123125 / 5
LCM(57105,57125) = 652424625

Least Common Multiple (LCM) of 57105 and 57125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57105 and 57125. First we will calculate the prime factors of 57105 and 57125.

Prime Factorization of 57105

Prime Factorization of 57125

Now multiplying the highest exponent prime factors to calculate the LCM of 57105 and 57125.

LCM(57105,57125) = 3⁵ × 5³ × 47¹ × 457¹
LCM(57105,57125) = 652424625