What is the Least Common Multiple of 27975 and 27985?

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 27985 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 27985, than apply into the LCM equation.

GCF(27975,27985) = 5
LCM(27975,27985) = ( 27975 × 27985) / 5
LCM(27975,27985) = 782880375 / 5
LCM(27975,27985) = 156576075

Least Common Multiple (LCM) of 27975 and 27985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27975 and 27985. First we will calculate the prime factors of 27975 and 27985.

Prime Factorization of 27975

Prime Factorization of 27985

Now multiplying the highest exponent prime factors to calculate the LCM of 27975 and 27985.

LCM(27975,27985) = 3¹ × 5² × 373¹ × 29¹ × 193¹
LCM(27975,27985) = 156576075