What is the Least Common Multiple of 98296 and 98300?

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 98296 and 98300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98296 and 98300, than apply into the LCM equation.

GCF(98296,98300) = 4
LCM(98296,98300) = ( 98296 × 98300) / 4
LCM(98296,98300) = 9662496800 / 4
LCM(98296,98300) = 2415624200

Least Common Multiple (LCM) of 98296 and 98300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98296 and 98300. First we will calculate the prime factors of 98296 and 98300.

Prime Factorization of 98296

Prime Factorization of 98300

Now multiplying the highest exponent prime factors to calculate the LCM of 98296 and 98300.

LCM(98296,98300) = 2³ × 11¹ × 1117¹ × 5² × 983¹
LCM(98296,98300) = 2415624200