What is the Least Common Multiple of 72435 and 72439?

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 72435 and 72439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72435 and 72439, than apply into the LCM equation.

GCF(72435,72439) = 1
LCM(72435,72439) = ( 72435 × 72439) / 1
LCM(72435,72439) = 5247118965 / 1
LCM(72435,72439) = 5247118965

Least Common Multiple (LCM) of 72435 and 72439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72435 and 72439. First we will calculate the prime factors of 72435 and 72439.

Prime Factorization of 72435

Prime Factorization of 72439

Now multiplying the highest exponent prime factors to calculate the LCM of 72435 and 72439.

LCM(72435,72439) = 3¹ × 5¹ × 11¹ × 439¹ × 107¹ × 677¹
LCM(72435,72439) = 5247118965