What is the Least Common Multiple of 5440 and 5457?

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 5440 and 5457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5440 and 5457, than apply into the LCM equation.

GCF(5440,5457) = 17
LCM(5440,5457) = ( 5440 × 5457) / 17
LCM(5440,5457) = 29686080 / 17
LCM(5440,5457) = 1746240

Least Common Multiple (LCM) of 5440 and 5457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5440 and 5457. First we will calculate the prime factors of 5440 and 5457.

Prime Factorization of 5440

Prime Factorization of 5457

Now multiplying the highest exponent prime factors to calculate the LCM of 5440 and 5457.

LCM(5440,5457) = 2⁶ × 5¹ × 17¹ × 3¹ × 107¹
LCM(5440,5457) = 1746240