What is the Least Common Multiple of 18257 and 18277?

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 18257 and 18277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18257 and 18277, than apply into the LCM equation.

GCF(18257,18277) = 1
LCM(18257,18277) = ( 18257 × 18277) / 1
LCM(18257,18277) = 333683189 / 1
LCM(18257,18277) = 333683189

Least Common Multiple (LCM) of 18257 and 18277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18257 and 18277. First we will calculate the prime factors of 18257 and 18277.

Prime Factorization of 18257

Prime Factorization of 18277

Now multiplying the highest exponent prime factors to calculate the LCM of 18257 and 18277.

LCM(18257,18277) = 18257¹ × 7² × 373¹
LCM(18257,18277) = 333683189