What is the Least Common Multiple of 98500 and 98519?

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 98519 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 98519, than apply into the LCM equation.

GCF(98500,98519) = 1
LCM(98500,98519) = ( 98500 × 98519) / 1
LCM(98500,98519) = 9704121500 / 1
LCM(98500,98519) = 9704121500

Least Common Multiple (LCM) of 98500 and 98519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98500 and 98519. First we will calculate the prime factors of 98500 and 98519.

Prime Factorization of 98500

Prime Factorization of 98519

Now multiplying the highest exponent prime factors to calculate the LCM of 98500 and 98519.

LCM(98500,98519) = 2² × 5³ × 197¹ × 98519¹
LCM(98500,98519) = 9704121500