GCF and LCM Calculator Logo

What is the Least Common Multiple of 28177 and 28185?

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 28177 and 28185 is 794168745.

LCM(28177,28185) = 794168745

LCM Calculator and
and

Least Common Multiple of 28177 and 28185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28177 and 28185, than apply into the LCM equation.

GCF(28177,28185) = 1
LCM(28177,28185) = ( 28177 × 28185) / 1
LCM(28177,28185) = 794168745 / 1
LCM(28177,28185) = 794168745

Least Common Multiple (LCM) of 28177 and 28185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28177 and 28185. First we will calculate the prime factors of 28177 and 28185.

Prime Factorization of 28177

Prime factors of 28177 are 19, 1483. Prime factorization of 28177 in exponential form is:

28177 = 191 × 14831

Prime Factorization of 28185

Prime factors of 28185 are 3, 5, 1879. Prime factorization of 28185 in exponential form is:

28185 = 31 × 51 × 18791

Now multiplying the highest exponent prime factors to calculate the LCM of 28177 and 28185.

LCM(28177,28185) = 191 × 14831 × 31 × 51 × 18791
LCM(28177,28185) = 794168745