GCF and LCM Calculator Logo

What is the Least Common Multiple of 53131 and 53151?

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 53131 and 53151 is 2823965781.

LCM(53131,53151) = 2823965781

LCM Calculator and
and

Least Common Multiple of 53131 and 53151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53131 and 53151, than apply into the LCM equation.

GCF(53131,53151) = 1
LCM(53131,53151) = ( 53131 × 53151) / 1
LCM(53131,53151) = 2823965781 / 1
LCM(53131,53151) = 2823965781

Least Common Multiple (LCM) of 53131 and 53151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53131 and 53151. First we will calculate the prime factors of 53131 and 53151.

Prime Factorization of 53131

Prime factors of 53131 are 13, 61, 67. Prime factorization of 53131 in exponential form is:

53131 = 131 × 611 × 671

Prime Factorization of 53151

Prime factors of 53151 are 3, 7, 2531. Prime factorization of 53151 in exponential form is:

53151 = 31 × 71 × 25311

Now multiplying the highest exponent prime factors to calculate the LCM of 53131 and 53151.

LCM(53131,53151) = 131 × 611 × 671 × 31 × 71 × 25311
LCM(53131,53151) = 2823965781