GCF and LCM Calculator Logo

What is the Least Common Multiple of 11079 and 11098?

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 11079 and 11098 is 122954742.

LCM(11079,11098) = 122954742

LCM Calculator and
and

Least Common Multiple of 11079 and 11098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11079 and 11098, than apply into the LCM equation.

GCF(11079,11098) = 1
LCM(11079,11098) = ( 11079 × 11098) / 1
LCM(11079,11098) = 122954742 / 1
LCM(11079,11098) = 122954742

Least Common Multiple (LCM) of 11079 and 11098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11079 and 11098. First we will calculate the prime factors of 11079 and 11098.

Prime Factorization of 11079

Prime factors of 11079 are 3, 1231. Prime factorization of 11079 in exponential form is:

11079 = 32 × 12311

Prime Factorization of 11098

Prime factors of 11098 are 2, 31, 179. Prime factorization of 11098 in exponential form is:

11098 = 21 × 311 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 11079 and 11098.

LCM(11079,11098) = 32 × 12311 × 21 × 311 × 1791
LCM(11079,11098) = 122954742