What is the Least Common Multiple of 80339 and 80344?

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 80339 and 80344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80339 and 80344, than apply into the LCM equation.

GCF(80339,80344) = 1
LCM(80339,80344) = ( 80339 × 80344) / 1
LCM(80339,80344) = 6454756616 / 1
LCM(80339,80344) = 6454756616

Least Common Multiple (LCM) of 80339 and 80344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80339 and 80344. First we will calculate the prime factors of 80339 and 80344.

Prime Factorization of 80339

Prime Factorization of 80344

Now multiplying the highest exponent prime factors to calculate the LCM of 80339 and 80344.

LCM(80339,80344) = 7¹ × 23¹ × 499¹ × 2³ × 11² × 83¹
LCM(80339,80344) = 6454756616