What is the Least Common Multiple of 5440 and 5454?

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 5454 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 5454, than apply into the LCM equation.

GCF(5440,5454) = 2
LCM(5440,5454) = ( 5440 × 5454) / 2
LCM(5440,5454) = 29669760 / 2
LCM(5440,5454) = 14834880

Least Common Multiple (LCM) of 5440 and 5454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5440 and 5454. First we will calculate the prime factors of 5440 and 5454.

Prime Factorization of 5440

Prime Factorization of 5454

Now multiplying the highest exponent prime factors to calculate the LCM of 5440 and 5454.

LCM(5440,5454) = 2⁶ × 5¹ × 17¹ × 3³ × 101¹
LCM(5440,5454) = 14834880