What is the Least Common Multiple of 97083 and 97098?

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 97083 and 97098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97083 and 97098, than apply into the LCM equation.

GCF(97083,97098) = 3
LCM(97083,97098) = ( 97083 × 97098) / 3
LCM(97083,97098) = 9426565134 / 3
LCM(97083,97098) = 3142188378

Least Common Multiple (LCM) of 97083 and 97098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97083 and 97098. First we will calculate the prime factors of 97083 and 97098.

Prime Factorization of 97083

Prime Factorization of 97098

Now multiplying the highest exponent prime factors to calculate the LCM of 97083 and 97098.

LCM(97083,97098) = 3² × 7¹ × 23¹ × 67¹ × 2¹ × 16183¹
LCM(97083,97098) = 3142188378