What is the Least Common Multiple of 7421 and 7439?

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 7421 and 7439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7421 and 7439, than apply into the LCM equation.

GCF(7421,7439) = 1
LCM(7421,7439) = ( 7421 × 7439) / 1
LCM(7421,7439) = 55204819 / 1
LCM(7421,7439) = 55204819

Least Common Multiple (LCM) of 7421 and 7439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7421 and 7439. First we will calculate the prime factors of 7421 and 7439.

Prime Factorization of 7421

Prime Factorization of 7439

Now multiplying the highest exponent prime factors to calculate the LCM of 7421 and 7439.

LCM(7421,7439) = 41¹ × 181¹ × 43¹ × 173¹
LCM(7421,7439) = 55204819