What is the Least Common Multiple of 56538 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 of 56538 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 56538 and 56556, than apply into the LCM equation.

GCF(56538,56556) = 18
LCM(56538,56556) = ( 56538 × 56556) / 18
LCM(56538,56556) = 3197563128 / 18
LCM(56538,56556) = 177642396

Least Common Multiple (LCM) of 56538 and 56556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56538 and 56556. First we will calculate the prime factors of 56538 and 56556.

Prime Factorization of 56538

Prime Factorization of 56556

Now multiplying the highest exponent prime factors to calculate the LCM of 56538 and 56556.

LCM(56538,56556) = 2² × 3⁴ × 349¹ × 1571¹
LCM(56538,56556) = 177642396