GCF and LCM Calculator Logo

What is the Least Common Multiple of 28730 and 28738?

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 28730 and 28738 is 412821370.

LCM(28730,28738) = 412821370

LCM Calculator and
and

Least Common Multiple of 28730 and 28738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28730 and 28738, than apply into the LCM equation.

GCF(28730,28738) = 2
LCM(28730,28738) = ( 28730 × 28738) / 2
LCM(28730,28738) = 825642740 / 2
LCM(28730,28738) = 412821370

Least Common Multiple (LCM) of 28730 and 28738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28730 and 28738. First we will calculate the prime factors of 28730 and 28738.

Prime Factorization of 28730

Prime factors of 28730 are 2, 5, 13, 17. Prime factorization of 28730 in exponential form is:

28730 = 21 × 51 × 132 × 171

Prime Factorization of 28738

Prime factors of 28738 are 2, 14369. Prime factorization of 28738 in exponential form is:

28738 = 21 × 143691

Now multiplying the highest exponent prime factors to calculate the LCM of 28730 and 28738.

LCM(28730,28738) = 21 × 51 × 132 × 171 × 143691
LCM(28730,28738) = 412821370