What is the Least Common Multiple of 28340 and 28345?

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 28340 and 28345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28340 and 28345, than apply into the LCM equation.

GCF(28340,28345) = 5
LCM(28340,28345) = ( 28340 × 28345) / 5
LCM(28340,28345) = 803297300 / 5
LCM(28340,28345) = 160659460

Least Common Multiple (LCM) of 28340 and 28345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28340 and 28345. First we will calculate the prime factors of 28340 and 28345.

Prime Factorization of 28340

Prime Factorization of 28345

Now multiplying the highest exponent prime factors to calculate the LCM of 28340 and 28345.

LCM(28340,28345) = 2² × 5¹ × 13¹ × 109¹ × 5669¹
LCM(28340,28345) = 160659460