What is the Least Common Multiple of 5440 and 5456?

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 5456 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 5456, than apply into the LCM equation.

GCF(5440,5456) = 16
LCM(5440,5456) = ( 5440 × 5456) / 16
LCM(5440,5456) = 29680640 / 16
LCM(5440,5456) = 1855040

Least Common Multiple (LCM) of 5440 and 5456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5440 and 5456. First we will calculate the prime factors of 5440 and 5456.

Prime Factorization of 5440

Prime Factorization of 5456

Now multiplying the highest exponent prime factors to calculate the LCM of 5440 and 5456.

LCM(5440,5456) = 2⁶ × 5¹ × 17¹ × 11¹ × 31¹
LCM(5440,5456) = 1855040