GCF and LCM Calculator Logo

What is the Least Common Multiple of 5144 and 5149?

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 5144 and 5149 is 26486456.

LCM(5144,5149) = 26486456

LCM Calculator and
and

Least Common Multiple of 5144 and 5149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5144 and 5149, than apply into the LCM equation.

GCF(5144,5149) = 1
LCM(5144,5149) = ( 5144 × 5149) / 1
LCM(5144,5149) = 26486456 / 1
LCM(5144,5149) = 26486456

Least Common Multiple (LCM) of 5144 and 5149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5144 and 5149. First we will calculate the prime factors of 5144 and 5149.

Prime Factorization of 5144

Prime factors of 5144 are 2, 643. Prime factorization of 5144 in exponential form is:

5144 = 23 × 6431

Prime Factorization of 5149

Prime factors of 5149 are 19, 271. Prime factorization of 5149 in exponential form is:

5149 = 191 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 5144 and 5149.

LCM(5144,5149) = 23 × 6431 × 191 × 2711
LCM(5144,5149) = 26486456