What is the Least Common Multiple of 28365 and 28371?

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 28365 and 28371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28365 and 28371, than apply into the LCM equation.

GCF(28365,28371) = 3
LCM(28365,28371) = ( 28365 × 28371) / 3
LCM(28365,28371) = 804743415 / 3
LCM(28365,28371) = 268247805

Least Common Multiple (LCM) of 28365 and 28371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28365 and 28371. First we will calculate the prime factors of 28365 and 28371.

Prime Factorization of 28365

Prime Factorization of 28371

Now multiplying the highest exponent prime factors to calculate the LCM of 28365 and 28371.

LCM(28365,28371) = 3¹ × 5¹ × 31¹ × 61¹ × 7² × 193¹
LCM(28365,28371) = 268247805