GCF and LCM Calculator Logo

What is the Least Common Multiple of 57131 and 57139?

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 57131 and 57139 is 3264408209.

LCM(57131,57139) = 3264408209

LCM Calculator and
and

Least Common Multiple of 57131 and 57139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57131 and 57139, than apply into the LCM equation.

GCF(57131,57139) = 1
LCM(57131,57139) = ( 57131 × 57139) / 1
LCM(57131,57139) = 3264408209 / 1
LCM(57131,57139) = 3264408209

Least Common Multiple (LCM) of 57131 and 57139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57131 and 57139. First we will calculate the prime factors of 57131 and 57139.

Prime Factorization of 57131

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

57131 = 571311

Prime Factorization of 57139

Prime factors of 57139 are 57139. Prime factorization of 57139 in exponential form is:

57139 = 571391

Now multiplying the highest exponent prime factors to calculate the LCM of 57131 and 57139.

LCM(57131,57139) = 571311 × 571391
LCM(57131,57139) = 3264408209