GCF and LCM Calculator Logo

What is the Least Common Multiple of 4558 and 4573?

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 4558 and 4573 is 20843734.

LCM(4558,4573) = 20843734

LCM Calculator and
and

Least Common Multiple of 4558 and 4573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4558 and 4573, than apply into the LCM equation.

GCF(4558,4573) = 1
LCM(4558,4573) = ( 4558 × 4573) / 1
LCM(4558,4573) = 20843734 / 1
LCM(4558,4573) = 20843734

Least Common Multiple (LCM) of 4558 and 4573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4558 and 4573. First we will calculate the prime factors of 4558 and 4573.

Prime Factorization of 4558

Prime factors of 4558 are 2, 43, 53. Prime factorization of 4558 in exponential form is:

4558 = 21 × 431 × 531

Prime Factorization of 4573

Prime factors of 4573 are 17, 269. Prime factorization of 4573 in exponential form is:

4573 = 171 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 4558 and 4573.

LCM(4558,4573) = 21 × 431 × 531 × 171 × 2691
LCM(4558,4573) = 20843734