GCF and LCM Calculator Logo

What is the Least Common Multiple of 9093 and 9098?

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 (LCM) of 9093 and 9098 is 82728114.

LCM(9093,9098) = 82728114

LCM Calculator and
and

Least Common Multiple of 9093 and 9098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9093 and 9098, than apply into the LCM equation.

GCF(9093,9098) = 1
LCM(9093,9098) = ( 9093 × 9098) / 1
LCM(9093,9098) = 82728114 / 1
LCM(9093,9098) = 82728114

Least Common Multiple (LCM) of 9093 and 9098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9093 and 9098. First we will calculate the prime factors of 9093 and 9098.

Prime Factorization of 9093

Prime factors of 9093 are 3, 7, 433. Prime factorization of 9093 in exponential form is:

9093 = 31 × 71 × 4331

Prime Factorization of 9098

Prime factors of 9098 are 2, 4549. Prime factorization of 9098 in exponential form is:

9098 = 21 × 45491

Now multiplying the highest exponent prime factors to calculate the LCM of 9093 and 9098.

LCM(9093,9098) = 31 × 71 × 4331 × 21 × 45491
LCM(9093,9098) = 82728114