What is the Least Common Multiple of 18508 and 18518?

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 18508 and 18518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18508 and 18518, than apply into the LCM equation.

GCF(18508,18518) = 2
LCM(18508,18518) = ( 18508 × 18518) / 2
LCM(18508,18518) = 342731144 / 2
LCM(18508,18518) = 171365572

Least Common Multiple (LCM) of 18508 and 18518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18508 and 18518. First we will calculate the prime factors of 18508 and 18518.

Prime Factorization of 18508

Prime Factorization of 18518

Now multiplying the highest exponent prime factors to calculate the LCM of 18508 and 18518.

LCM(18508,18518) = 2² × 7¹ × 661¹ × 47¹ × 197¹
LCM(18508,18518) = 171365572