What is the Least Common Multiple of 53439 and 53452?

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 53439 and 53452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53439 and 53452, than apply into the LCM equation.

GCF(53439,53452) = 1
LCM(53439,53452) = ( 53439 × 53452) / 1
LCM(53439,53452) = 2856421428 / 1
LCM(53439,53452) = 2856421428

Least Common Multiple (LCM) of 53439 and 53452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53439 and 53452. First we will calculate the prime factors of 53439 and 53452.

Prime Factorization of 53439

Prime Factorization of 53452

Now multiplying the highest exponent prime factors to calculate the LCM of 53439 and 53452.

LCM(53439,53452) = 3¹ × 47¹ × 379¹ × 2² × 7¹ × 23¹ × 83¹
LCM(53439,53452) = 2856421428