GCF and LCM Calculator Logo

What is the Least Common Multiple of 67556 and 67573?

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 67556 and 67573 is 4564961588.

LCM(67556,67573) = 4564961588

LCM Calculator and
and

Least Common Multiple of 67556 and 67573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67556 and 67573, than apply into the LCM equation.

GCF(67556,67573) = 1
LCM(67556,67573) = ( 67556 × 67573) / 1
LCM(67556,67573) = 4564961588 / 1
LCM(67556,67573) = 4564961588

Least Common Multiple (LCM) of 67556 and 67573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67556 and 67573. First we will calculate the prime factors of 67556 and 67573.

Prime Factorization of 67556

Prime factors of 67556 are 2, 16889. Prime factorization of 67556 in exponential form is:

67556 = 22 × 168891

Prime Factorization of 67573

Prime factors of 67573 are 11, 6143. Prime factorization of 67573 in exponential form is:

67573 = 111 × 61431

Now multiplying the highest exponent prime factors to calculate the LCM of 67556 and 67573.

LCM(67556,67573) = 22 × 168891 × 111 × 61431
LCM(67556,67573) = 4564961588