What is the Least Common Multiple of 28185 and 28201?

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 28201 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 28201, than apply into the LCM equation.

GCF(28185,28201) = 1
LCM(28185,28201) = ( 28185 × 28201) / 1
LCM(28185,28201) = 794845185 / 1
LCM(28185,28201) = 794845185

Least Common Multiple (LCM) of 28185 and 28201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28185 and 28201. First we will calculate the prime factors of 28185 and 28201.

Prime Factorization of 28185

Prime Factorization of 28201

Now multiplying the highest exponent prime factors to calculate the LCM of 28185 and 28201.

LCM(28185,28201) = 3¹ × 5¹ × 1879¹ × 28201¹
LCM(28185,28201) = 794845185