GCF and LCM Calculator Logo

What is the Least Common Multiple of 57125 and 57131?

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 (LCM) of 57125 and 57131 is 3263608375.

LCM(57125,57131) = 3263608375

LCM Calculator and
and

Least Common Multiple of 57125 and 57131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57125 and 57131, than apply into the LCM equation.

GCF(57125,57131) = 1
LCM(57125,57131) = ( 57125 × 57131) / 1
LCM(57125,57131) = 3263608375 / 1
LCM(57125,57131) = 3263608375

Least Common Multiple (LCM) of 57125 and 57131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57125 and 57131. First we will calculate the prime factors of 57125 and 57131.

Prime Factorization of 57125

Prime factors of 57125 are 5, 457. Prime factorization of 57125 in exponential form is:

57125 = 53 × 4571

Prime Factorization of 57131

Prime factors of 57131 are 57131. Prime factorization of 57131 in exponential form is:

57131 = 571311

Now multiplying the highest exponent prime factors to calculate the LCM of 57125 and 57131.

LCM(57125,57131) = 53 × 4571 × 571311
LCM(57125,57131) = 3263608375