What is the Least Common Multiple of 17845 and 17857?

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 17845 and 17857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17845 and 17857, than apply into the LCM equation.

GCF(17845,17857) = 1
LCM(17845,17857) = ( 17845 × 17857) / 1
LCM(17845,17857) = 318658165 / 1
LCM(17845,17857) = 318658165

Least Common Multiple (LCM) of 17845 and 17857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17845 and 17857. First we will calculate the prime factors of 17845 and 17857.

Prime Factorization of 17845

Prime Factorization of 17857

Now multiplying the highest exponent prime factors to calculate the LCM of 17845 and 17857.

LCM(17845,17857) = 5¹ × 43¹ × 83¹ × 7¹ × 2551¹
LCM(17845,17857) = 318658165