GCF and LCM Calculator Logo

What is the Least Common Multiple of 5413 and 5426?

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 5413 and 5426 is 29370938.

LCM(5413,5426) = 29370938

LCM Calculator and
and

Least Common Multiple of 5413 and 5426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5413 and 5426, than apply into the LCM equation.

GCF(5413,5426) = 1
LCM(5413,5426) = ( 5413 × 5426) / 1
LCM(5413,5426) = 29370938 / 1
LCM(5413,5426) = 29370938

Least Common Multiple (LCM) of 5413 and 5426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5413 and 5426. First we will calculate the prime factors of 5413 and 5426.

Prime Factorization of 5413

Prime factors of 5413 are 5413. Prime factorization of 5413 in exponential form is:

5413 = 54131

Prime Factorization of 5426

Prime factors of 5426 are 2, 2713. Prime factorization of 5426 in exponential form is:

5426 = 21 × 27131

Now multiplying the highest exponent prime factors to calculate the LCM of 5413 and 5426.

LCM(5413,5426) = 54131 × 21 × 27131
LCM(5413,5426) = 29370938