GCF and LCM Calculator Logo

What is the Least Common Multiple of 57330 and 57341?

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 57330 and 57341 is 3287359530.

LCM(57330,57341) = 3287359530

LCM Calculator and
and

Least Common Multiple of 57330 and 57341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57330 and 57341, than apply into the LCM equation.

GCF(57330,57341) = 1
LCM(57330,57341) = ( 57330 × 57341) / 1
LCM(57330,57341) = 3287359530 / 1
LCM(57330,57341) = 3287359530

Least Common Multiple (LCM) of 57330 and 57341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57330 and 57341. First we will calculate the prime factors of 57330 and 57341.

Prime Factorization of 57330

Prime factors of 57330 are 2, 3, 5, 7, 13. Prime factorization of 57330 in exponential form is:

57330 = 21 × 32 × 51 × 72 × 131

Prime Factorization of 57341

Prime factors of 57341 are 17, 3373. Prime factorization of 57341 in exponential form is:

57341 = 171 × 33731

Now multiplying the highest exponent prime factors to calculate the LCM of 57330 and 57341.

LCM(57330,57341) = 21 × 32 × 51 × 72 × 131 × 171 × 33731
LCM(57330,57341) = 3287359530