What is the Least Common Multiple of 5436 and 5440?

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 5436 and 5440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5436 and 5440, than apply into the LCM equation.

GCF(5436,5440) = 4
LCM(5436,5440) = ( 5436 × 5440) / 4
LCM(5436,5440) = 29571840 / 4
LCM(5436,5440) = 7392960

Least Common Multiple (LCM) of 5436 and 5440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5436 and 5440. First we will calculate the prime factors of 5436 and 5440.

Prime Factorization of 5436

Prime Factorization of 5440

Now multiplying the highest exponent prime factors to calculate the LCM of 5436 and 5440.

LCM(5436,5440) = 2⁶ × 3² × 151¹ × 5¹ × 17¹
LCM(5436,5440) = 7392960