What is the Least Common Multiple of 98500 and 98514?

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 98514 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 98514, than apply into the LCM equation.

GCF(98500,98514) = 2
LCM(98500,98514) = ( 98500 × 98514) / 2
LCM(98500,98514) = 9703629000 / 2
LCM(98500,98514) = 4851814500

Least Common Multiple (LCM) of 98500 and 98514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98500 and 98514. First we will calculate the prime factors of 98500 and 98514.

Prime Factorization of 98500

Prime Factorization of 98514

Now multiplying the highest exponent prime factors to calculate the LCM of 98500 and 98514.

LCM(98500,98514) = 2² × 5³ × 197¹ × 3² × 13¹ × 421¹
LCM(98500,98514) = 4851814500