GCF and LCM Calculator Logo

What is the Least Common Multiple of 5431 and 5451?

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 5431 and 5451 is 29604381.

LCM(5431,5451) = 29604381

LCM Calculator and
and

Least Common Multiple of 5431 and 5451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5431 and 5451, than apply into the LCM equation.

GCF(5431,5451) = 1
LCM(5431,5451) = ( 5431 × 5451) / 1
LCM(5431,5451) = 29604381 / 1
LCM(5431,5451) = 29604381

Least Common Multiple (LCM) of 5431 and 5451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5431 and 5451. First we will calculate the prime factors of 5431 and 5451.

Prime Factorization of 5431

Prime factors of 5431 are 5431. Prime factorization of 5431 in exponential form is:

5431 = 54311

Prime Factorization of 5451

Prime factors of 5451 are 3, 23, 79. Prime factorization of 5451 in exponential form is:

5451 = 31 × 231 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 5431 and 5451.

LCM(5431,5451) = 54311 × 31 × 231 × 791
LCM(5431,5451) = 29604381