GCF and LCM Calculator Logo

What is the Least Common Multiple of 53391 and 53401?

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 53391 and 53401 is 2851132791.

LCM(53391,53401) = 2851132791

LCM Calculator and
and

Least Common Multiple of 53391 and 53401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53391 and 53401, than apply into the LCM equation.

GCF(53391,53401) = 1
LCM(53391,53401) = ( 53391 × 53401) / 1
LCM(53391,53401) = 2851132791 / 1
LCM(53391,53401) = 2851132791

Least Common Multiple (LCM) of 53391 and 53401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53391 and 53401. First we will calculate the prime factors of 53391 and 53401.

Prime Factorization of 53391

Prime factors of 53391 are 3, 13, 37. Prime factorization of 53391 in exponential form is:

53391 = 31 × 131 × 372

Prime Factorization of 53401

Prime factors of 53401 are 53401. Prime factorization of 53401 in exponential form is:

53401 = 534011

Now multiplying the highest exponent prime factors to calculate the LCM of 53391 and 53401.

LCM(53391,53401) = 31 × 131 × 372 × 534011
LCM(53391,53401) = 2851132791