What is the Least Common Multiple of 53420 and 53439?

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 53420 and 53439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53420 and 53439, than apply into the LCM equation.

GCF(53420,53439) = 1
LCM(53420,53439) = ( 53420 × 53439) / 1
LCM(53420,53439) = 2854711380 / 1
LCM(53420,53439) = 2854711380

Least Common Multiple (LCM) of 53420 and 53439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53420 and 53439. First we will calculate the prime factors of 53420 and 53439.

Prime Factorization of 53420

Prime Factorization of 53439

Now multiplying the highest exponent prime factors to calculate the LCM of 53420 and 53439.

LCM(53420,53439) = 2² × 5¹ × 2671¹ × 3¹ × 47¹ × 379¹
LCM(53420,53439) = 2854711380