What is the Least Common Multiple of 28185 and 28197?

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 of 28185 and 28197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28185 and 28197, than apply into the LCM equation.

GCF(28185,28197) = 3
LCM(28185,28197) = ( 28185 × 28197) / 3
LCM(28185,28197) = 794732445 / 3
LCM(28185,28197) = 264910815

Least Common Multiple (LCM) of 28185 and 28197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28185 and 28197. First we will calculate the prime factors of 28185 and 28197.

Prime Factorization of 28185

Prime Factorization of 28197

Now multiplying the highest exponent prime factors to calculate the LCM of 28185 and 28197.

LCM(28185,28197) = 3² × 5¹ × 1879¹ × 13¹ × 241¹
LCM(28185,28197) = 264910815