GCF and LCM Calculator Logo

What is the Least Common Multiple of 5360 and 5380?

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 5380 is 1441840.

LCM(5360,5380) = 1441840

LCM Calculator and
and

Least Common Multiple of 5360 and 5380 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 5380, than apply into the LCM equation.

GCF(5360,5380) = 20
LCM(5360,5380) = ( 5360 × 5380) / 20
LCM(5360,5380) = 28836800 / 20
LCM(5360,5380) = 1441840

Least Common Multiple (LCM) of 5360 and 5380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5360 and 5380. First we will calculate the prime factors of 5360 and 5380.

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 5380

Prime factors of 5380 are 2, 5, 269. Prime factorization of 5380 in exponential form is:

5380 = 22 × 51 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 5360 and 5380.

LCM(5360,5380) = 24 × 51 × 671 × 2691
LCM(5360,5380) = 1441840