GCF and LCM Calculator Logo

What is the Least Common Multiple of 56554 and 56558?

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 56554 and 56558 is 1599290566.

LCM(56554,56558) = 1599290566

LCM Calculator and
and

Least Common Multiple of 56554 and 56558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56554 and 56558, than apply into the LCM equation.

GCF(56554,56558) = 2
LCM(56554,56558) = ( 56554 × 56558) / 2
LCM(56554,56558) = 3198581132 / 2
LCM(56554,56558) = 1599290566

Least Common Multiple (LCM) of 56554 and 56558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56554 and 56558. First we will calculate the prime factors of 56554 and 56558.

Prime Factorization of 56554

Prime factors of 56554 are 2, 28277. Prime factorization of 56554 in exponential form is:

56554 = 21 × 282771

Prime Factorization of 56558

Prime factors of 56558 are 2, 28279. Prime factorization of 56558 in exponential form is:

56558 = 21 × 282791

Now multiplying the highest exponent prime factors to calculate the LCM of 56554 and 56558.

LCM(56554,56558) = 21 × 282771 × 282791
LCM(56554,56558) = 1599290566