What is the Least Common Multiple of 73421 and 73439?

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 73421 and 73439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73421 and 73439, than apply into the LCM equation.

GCF(73421,73439) = 1
LCM(73421,73439) = ( 73421 × 73439) / 1
LCM(73421,73439) = 5391964819 / 1
LCM(73421,73439) = 5391964819

Least Common Multiple (LCM) of 73421 and 73439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73421 and 73439. First we will calculate the prime factors of 73421 and 73439.

Prime Factorization of 73421

Prime Factorization of 73439

Now multiplying the highest exponent prime factors to calculate the LCM of 73421 and 73439.

LCM(73421,73439) = 73421¹ × 23¹ × 31¹ × 103¹
LCM(73421,73439) = 5391964819