GCF and LCM Calculator Logo

What is the Least Common Multiple of 57192 and 57198?

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 57192 and 57198 is 545211336.

LCM(57192,57198) = 545211336

LCM Calculator and
and

Least Common Multiple of 57192 and 57198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57192 and 57198, than apply into the LCM equation.

GCF(57192,57198) = 6
LCM(57192,57198) = ( 57192 × 57198) / 6
LCM(57192,57198) = 3271268016 / 6
LCM(57192,57198) = 545211336

Least Common Multiple (LCM) of 57192 and 57198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57192 and 57198. First we will calculate the prime factors of 57192 and 57198.

Prime Factorization of 57192

Prime factors of 57192 are 2, 3, 2383. Prime factorization of 57192 in exponential form is:

57192 = 23 × 31 × 23831

Prime Factorization of 57198

Prime factors of 57198 are 2, 3, 9533. Prime factorization of 57198 in exponential form is:

57198 = 21 × 31 × 95331

Now multiplying the highest exponent prime factors to calculate the LCM of 57192 and 57198.

LCM(57192,57198) = 23 × 31 × 23831 × 95331
LCM(57192,57198) = 545211336