GCF and LCM Calculator Logo

What is the Least Common Multiple of 28175 and 28193?

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 28175 and 28193 is 794337775.

LCM(28175,28193) = 794337775

LCM Calculator and
and

Least Common Multiple of 28175 and 28193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28175 and 28193, than apply into the LCM equation.

GCF(28175,28193) = 1
LCM(28175,28193) = ( 28175 × 28193) / 1
LCM(28175,28193) = 794337775 / 1
LCM(28175,28193) = 794337775

Least Common Multiple (LCM) of 28175 and 28193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28175 and 28193. First we will calculate the prime factors of 28175 and 28193.

Prime Factorization of 28175

Prime factors of 28175 are 5, 7, 23. Prime factorization of 28175 in exponential form is:

28175 = 52 × 72 × 231

Prime Factorization of 28193

Prime factors of 28193 are 11, 233. Prime factorization of 28193 in exponential form is:

28193 = 112 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 28175 and 28193.

LCM(28175,28193) = 52 × 72 × 231 × 112 × 2331
LCM(28175,28193) = 794337775