What is the Least Common Multiple of 56523 and 56543?

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 56523 and 56543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56523 and 56543, than apply into the LCM equation.

GCF(56523,56543) = 1
LCM(56523,56543) = ( 56523 × 56543) / 1
LCM(56523,56543) = 3195979989 / 1
LCM(56523,56543) = 3195979989

Least Common Multiple (LCM) of 56523 and 56543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56523 and 56543. First we will calculate the prime factors of 56523 and 56543.

Prime Factorization of 56523

Prime Factorization of 56543

Now multiplying the highest exponent prime factors to calculate the LCM of 56523 and 56543.

LCM(56523,56543) = 3¹ × 83¹ × 227¹ × 56543¹
LCM(56523,56543) = 3195979989