What is the Least Common Multiple of 98319 and 98331?

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 98319 and 98331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98319 and 98331, than apply into the LCM equation.

GCF(98319,98331) = 3
LCM(98319,98331) = ( 98319 × 98331) / 3
LCM(98319,98331) = 9667805589 / 3
LCM(98319,98331) = 3222601863

Least Common Multiple (LCM) of 98319 and 98331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98319 and 98331. First we will calculate the prime factors of 98319 and 98331.

Prime Factorization of 98319

Prime Factorization of 98331

Now multiplying the highest exponent prime factors to calculate the LCM of 98319 and 98331.

LCM(98319,98331) = 3¹ × 13¹ × 2521¹ × 73¹ × 449¹
LCM(98319,98331) = 3222601863