What is the Least Common Multiple of 18537 and 18541?

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 18537 and 18541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18537 and 18541, than apply into the LCM equation.

GCF(18537,18541) = 1
LCM(18537,18541) = ( 18537 × 18541) / 1
LCM(18537,18541) = 343694517 / 1
LCM(18537,18541) = 343694517

Least Common Multiple (LCM) of 18537 and 18541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18537 and 18541. First we will calculate the prime factors of 18537 and 18541.

Prime Factorization of 18537

Prime Factorization of 18541

Now multiplying the highest exponent prime factors to calculate the LCM of 18537 and 18541.

LCM(18537,18541) = 3¹ × 37¹ × 167¹ × 18541¹
LCM(18537,18541) = 343694517