What is the Least Common Multiple of 80340 and 80345?

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 80340 and 80345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80340 and 80345, than apply into the LCM equation.

GCF(80340,80345) = 5
LCM(80340,80345) = ( 80340 × 80345) / 5
LCM(80340,80345) = 6454917300 / 5
LCM(80340,80345) = 1290983460

Least Common Multiple (LCM) of 80340 and 80345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80340 and 80345. First we will calculate the prime factors of 80340 and 80345.

Prime Factorization of 80340

Prime Factorization of 80345

Now multiplying the highest exponent prime factors to calculate the LCM of 80340 and 80345.

LCM(80340,80345) = 2² × 3¹ × 5¹ × 13¹ × 103¹ × 16069¹
LCM(80340,80345) = 1290983460