GCF and LCM Calculator Logo

What is the Least Common Multiple of 56536 and 56548?

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 56536 and 56548 is 799249432.

LCM(56536,56548) = 799249432

LCM Calculator and
and

Least Common Multiple of 56536 and 56548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56536 and 56548, than apply into the LCM equation.

GCF(56536,56548) = 4
LCM(56536,56548) = ( 56536 × 56548) / 4
LCM(56536,56548) = 3196997728 / 4
LCM(56536,56548) = 799249432

Least Common Multiple (LCM) of 56536 and 56548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56536 and 56548. First we will calculate the prime factors of 56536 and 56548.

Prime Factorization of 56536

Prime factors of 56536 are 2, 37, 191. Prime factorization of 56536 in exponential form is:

56536 = 23 × 371 × 1911

Prime Factorization of 56548

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

56548 = 22 × 671 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 56536 and 56548.

LCM(56536,56548) = 23 × 371 × 1911 × 671 × 2111
LCM(56536,56548) = 799249432