What is the Least Common Multiple of 28340 and 28357?

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 28357 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 28357, than apply into the LCM equation.

GCF(28340,28357) = 1
LCM(28340,28357) = ( 28340 × 28357) / 1
LCM(28340,28357) = 803637380 / 1
LCM(28340,28357) = 803637380

Least Common Multiple (LCM) of 28340 and 28357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28340 and 28357. First we will calculate the prime factors of 28340 and 28357.

Prime Factorization of 28340

Prime Factorization of 28357

Now multiplying the highest exponent prime factors to calculate the LCM of 28340 and 28357.

LCM(28340,28357) = 2² × 5¹ × 13¹ × 109¹ × 7¹ × 4051¹
LCM(28340,28357) = 803637380