GCF and LCM Calculator Logo

What is the Least Common Multiple of 7189 and 7199?

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 7189 and 7199 is 51753611.

LCM(7189,7199) = 51753611

LCM Calculator and
and

Least Common Multiple of 7189 and 7199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7189 and 7199, than apply into the LCM equation.

GCF(7189,7199) = 1
LCM(7189,7199) = ( 7189 × 7199) / 1
LCM(7189,7199) = 51753611 / 1
LCM(7189,7199) = 51753611

Least Common Multiple (LCM) of 7189 and 7199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7189 and 7199. First we will calculate the prime factors of 7189 and 7199.

Prime Factorization of 7189

Prime factors of 7189 are 7, 13, 79. Prime factorization of 7189 in exponential form is:

7189 = 71 × 131 × 791

Prime Factorization of 7199

Prime factors of 7199 are 23, 313. Prime factorization of 7199 in exponential form is:

7199 = 231 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 7189 and 7199.

LCM(7189,7199) = 71 × 131 × 791 × 231 × 3131
LCM(7189,7199) = 51753611