What is the Least Common Multiple of 27258 and 27275?

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 27258 and 27275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27258 and 27275, than apply into the LCM equation.

GCF(27258,27275) = 1
LCM(27258,27275) = ( 27258 × 27275) / 1
LCM(27258,27275) = 743461950 / 1
LCM(27258,27275) = 743461950

Least Common Multiple (LCM) of 27258 and 27275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27258 and 27275. First we will calculate the prime factors of 27258 and 27275.

Prime Factorization of 27258

Prime Factorization of 27275

Now multiplying the highest exponent prime factors to calculate the LCM of 27258 and 27275.

LCM(27258,27275) = 2¹ × 3¹ × 7¹ × 11¹ × 59¹ × 5² × 1091¹
LCM(27258,27275) = 743461950