What is the Least Common Multiple of 5449 and 5453?

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 5449 and 5453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5449 and 5453, than apply into the LCM equation.

GCF(5449,5453) = 1
LCM(5449,5453) = ( 5449 × 5453) / 1
LCM(5449,5453) = 29713397 / 1
LCM(5449,5453) = 29713397

Least Common Multiple (LCM) of 5449 and 5453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5449 and 5453. First we will calculate the prime factors of 5449 and 5453.

Prime Factorization of 5449

Prime Factorization of 5453

Now multiplying the highest exponent prime factors to calculate the LCM of 5449 and 5453.

LCM(5449,5453) = 5449¹ × 7¹ × 19¹ × 41¹
LCM(5449,5453) = 29713397