What is the Least Common Multiple of 98500 and 98518?

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 98500 and 98518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98500 and 98518, than apply into the LCM equation.

GCF(98500,98518) = 2
LCM(98500,98518) = ( 98500 × 98518) / 2
LCM(98500,98518) = 9704023000 / 2
LCM(98500,98518) = 4852011500

Least Common Multiple (LCM) of 98500 and 98518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98500 and 98518. First we will calculate the prime factors of 98500 and 98518.

Prime Factorization of 98500

Prime Factorization of 98518

Now multiplying the highest exponent prime factors to calculate the LCM of 98500 and 98518.

LCM(98500,98518) = 2² × 5³ × 197¹ × 7¹ × 31¹ × 227¹
LCM(98500,98518) = 4852011500