GCF and LCM Calculator Logo

What is the Least Common Multiple of 57301 and 57306?

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 57301 and 57306 is 3283691106.

LCM(57301,57306) = 3283691106

LCM Calculator and
and

Least Common Multiple of 57301 and 57306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57301 and 57306, than apply into the LCM equation.

GCF(57301,57306) = 1
LCM(57301,57306) = ( 57301 × 57306) / 1
LCM(57301,57306) = 3283691106 / 1
LCM(57301,57306) = 3283691106

Least Common Multiple (LCM) of 57301 and 57306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57301 and 57306. First we will calculate the prime factors of 57301 and 57306.

Prime Factorization of 57301

Prime factors of 57301 are 57301. Prime factorization of 57301 in exponential form is:

57301 = 573011

Prime Factorization of 57306

Prime factors of 57306 are 2, 3, 9551. Prime factorization of 57306 in exponential form is:

57306 = 21 × 31 × 95511

Now multiplying the highest exponent prime factors to calculate the LCM of 57301 and 57306.

LCM(57301,57306) = 573011 × 21 × 31 × 95511
LCM(57301,57306) = 3283691106