GCF and LCM Calculator Logo

What is the Least Common Multiple of 57033 and 57041?

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 57033 and 57041 is 3253219353.

LCM(57033,57041) = 3253219353

LCM Calculator and
and

Least Common Multiple of 57033 and 57041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57033 and 57041, than apply into the LCM equation.

GCF(57033,57041) = 1
LCM(57033,57041) = ( 57033 × 57041) / 1
LCM(57033,57041) = 3253219353 / 1
LCM(57033,57041) = 3253219353

Least Common Multiple (LCM) of 57033 and 57041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57033 and 57041. First we will calculate the prime factors of 57033 and 57041.

Prime Factorization of 57033

Prime factors of 57033 are 3, 6337. Prime factorization of 57033 in exponential form is:

57033 = 32 × 63371

Prime Factorization of 57041

Prime factors of 57041 are 57041. Prime factorization of 57041 in exponential form is:

57041 = 570411

Now multiplying the highest exponent prime factors to calculate the LCM of 57033 and 57041.

LCM(57033,57041) = 32 × 63371 × 570411
LCM(57033,57041) = 3253219353