GCF and LCM Calculator Logo

What is the Least Common Multiple of 5198 and 5217?

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 5198 and 5217 is 27117966.

LCM(5198,5217) = 27117966

LCM Calculator and
and

Least Common Multiple of 5198 and 5217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5198 and 5217, than apply into the LCM equation.

GCF(5198,5217) = 1
LCM(5198,5217) = ( 5198 × 5217) / 1
LCM(5198,5217) = 27117966 / 1
LCM(5198,5217) = 27117966

Least Common Multiple (LCM) of 5198 and 5217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5198 and 5217. First we will calculate the prime factors of 5198 and 5217.

Prime Factorization of 5198

Prime factors of 5198 are 2, 23, 113. Prime factorization of 5198 in exponential form is:

5198 = 21 × 231 × 1131

Prime Factorization of 5217

Prime factors of 5217 are 3, 37, 47. Prime factorization of 5217 in exponential form is:

5217 = 31 × 371 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 5198 and 5217.

LCM(5198,5217) = 21 × 231 × 1131 × 31 × 371 × 471
LCM(5198,5217) = 27117966