What is the Least Common Multiple of 98192 and 98200?

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 98192 and 98200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98192 and 98200, than apply into the LCM equation.

GCF(98192,98200) = 8
LCM(98192,98200) = ( 98192 × 98200) / 8
LCM(98192,98200) = 9642454400 / 8
LCM(98192,98200) = 1205306800

Least Common Multiple (LCM) of 98192 and 98200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98192 and 98200. First we will calculate the prime factors of 98192 and 98200.

Prime Factorization of 98192

Prime Factorization of 98200

Now multiplying the highest exponent prime factors to calculate the LCM of 98192 and 98200.

LCM(98192,98200) = 2⁴ × 17¹ × 19² × 5² × 491¹
LCM(98192,98200) = 1205306800