GCF and LCM Calculator Logo

What is the Least Common Multiple of 54302 and 54316?

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 54302 and 54316 is 1474733716.

LCM(54302,54316) = 1474733716

LCM Calculator and
and

Least Common Multiple of 54302 and 54316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54302 and 54316, than apply into the LCM equation.

GCF(54302,54316) = 2
LCM(54302,54316) = ( 54302 × 54316) / 2
LCM(54302,54316) = 2949467432 / 2
LCM(54302,54316) = 1474733716

Least Common Multiple (LCM) of 54302 and 54316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54302 and 54316. First we will calculate the prime factors of 54302 and 54316.

Prime Factorization of 54302

Prime factors of 54302 are 2, 19, 1429. Prime factorization of 54302 in exponential form is:

54302 = 21 × 191 × 14291

Prime Factorization of 54316

Prime factors of 54316 are 2, 37, 367. Prime factorization of 54316 in exponential form is:

54316 = 22 × 371 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 54302 and 54316.

LCM(54302,54316) = 22 × 191 × 14291 × 371 × 3671
LCM(54302,54316) = 1474733716