GCF and LCM Calculator Logo

What is the Least Common Multiple of 5360 and 5373?

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 5360 and 5373 is 28799280.

LCM(5360,5373) = 28799280

LCM Calculator and
and

Least Common Multiple of 5360 and 5373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5360 and 5373, than apply into the LCM equation.

GCF(5360,5373) = 1
LCM(5360,5373) = ( 5360 × 5373) / 1
LCM(5360,5373) = 28799280 / 1
LCM(5360,5373) = 28799280

Least Common Multiple (LCM) of 5360 and 5373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5360 and 5373. First we will calculate the prime factors of 5360 and 5373.

Prime Factorization of 5360

Prime factors of 5360 are 2, 5, 67. Prime factorization of 5360 in exponential form is:

5360 = 24 × 51 × 671

Prime Factorization of 5373

Prime factors of 5373 are 3, 199. Prime factorization of 5373 in exponential form is:

5373 = 33 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 5360 and 5373.

LCM(5360,5373) = 24 × 51 × 671 × 33 × 1991
LCM(5360,5373) = 28799280