GCF and LCM Calculator Logo

What is the Least Common Multiple of 56548 and 56556?

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 56548 and 56556 is 799532172.

LCM(56548,56556) = 799532172

LCM Calculator and
and

Least Common Multiple of 56548 and 56556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56548 and 56556, than apply into the LCM equation.

GCF(56548,56556) = 4
LCM(56548,56556) = ( 56548 × 56556) / 4
LCM(56548,56556) = 3198128688 / 4
LCM(56548,56556) = 799532172

Least Common Multiple (LCM) of 56548 and 56556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56548 and 56556. First we will calculate the prime factors of 56548 and 56556.

Prime Factorization of 56548

Prime factors of 56548 are 2, 67, 211. Prime factorization of 56548 in exponential form is:

56548 = 22 × 671 × 2111

Prime Factorization of 56556

Prime factors of 56556 are 2, 3, 1571. Prime factorization of 56556 in exponential form is:

56556 = 22 × 32 × 15711

Now multiplying the highest exponent prime factors to calculate the LCM of 56548 and 56556.

LCM(56548,56556) = 22 × 671 × 2111 × 32 × 15711
LCM(56548,56556) = 799532172