What is the Least Common Multiple of 98192 and 98201?

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 98201 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 98201, than apply into the LCM equation.

GCF(98192,98201) = 1
LCM(98192,98201) = ( 98192 × 98201) / 1
LCM(98192,98201) = 9642552592 / 1
LCM(98192,98201) = 9642552592

Least Common Multiple (LCM) of 98192 and 98201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98192 and 98201. First we will calculate the prime factors of 98192 and 98201.

Prime Factorization of 98192

Prime Factorization of 98201

Now multiplying the highest exponent prime factors to calculate the LCM of 98192 and 98201.

LCM(98192,98201) = 2⁴ × 17¹ × 19² × 283¹ × 347¹
LCM(98192,98201) = 9642552592