What is the Least Common Multiple of 27275 and 27280?

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 27275 and 27280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27275 and 27280, than apply into the LCM equation.

GCF(27275,27280) = 5
LCM(27275,27280) = ( 27275 × 27280) / 5
LCM(27275,27280) = 744062000 / 5
LCM(27275,27280) = 148812400

Least Common Multiple (LCM) of 27275 and 27280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27275 and 27280. First we will calculate the prime factors of 27275 and 27280.

Prime Factorization of 27275

Prime Factorization of 27280

Now multiplying the highest exponent prime factors to calculate the LCM of 27275 and 27280.

LCM(27275,27280) = 5² × 1091¹ × 2⁴ × 11¹ × 31¹
LCM(27275,27280) = 148812400