What is the Least Common Multiple of 36420 and 36439?

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 36420 and 36439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36420 and 36439, than apply into the LCM equation.

GCF(36420,36439) = 1
LCM(36420,36439) = ( 36420 × 36439) / 1
LCM(36420,36439) = 1327108380 / 1
LCM(36420,36439) = 1327108380

Least Common Multiple (LCM) of 36420 and 36439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36420 and 36439. First we will calculate the prime factors of 36420 and 36439.

Prime Factorization of 36420

Prime Factorization of 36439

Now multiplying the highest exponent prime factors to calculate the LCM of 36420 and 36439.

LCM(36420,36439) = 2² × 3¹ × 5¹ × 607¹ × 13¹ × 2803¹
LCM(36420,36439) = 1327108380