What is the Least Common Multiple of 27975 and 27982?

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 27975 and 27982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27975 and 27982, than apply into the LCM equation.

GCF(27975,27982) = 1
LCM(27975,27982) = ( 27975 × 27982) / 1
LCM(27975,27982) = 782796450 / 1
LCM(27975,27982) = 782796450

Least Common Multiple (LCM) of 27975 and 27982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27975 and 27982. First we will calculate the prime factors of 27975 and 27982.

Prime Factorization of 27975

Prime Factorization of 27982

Now multiplying the highest exponent prime factors to calculate the LCM of 27975 and 27982.

LCM(27975,27982) = 3¹ × 5² × 373¹ × 2¹ × 17¹ × 823¹
LCM(27975,27982) = 782796450