What is the Least Common Multiple of 56532 and 56538?

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 56532 and 56538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56532 and 56538, than apply into the LCM equation.

GCF(56532,56538) = 6
LCM(56532,56538) = ( 56532 × 56538) / 6
LCM(56532,56538) = 3196206216 / 6
LCM(56532,56538) = 532701036

Least Common Multiple (LCM) of 56532 and 56538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56532 and 56538. First we will calculate the prime factors of 56532 and 56538.

Prime Factorization of 56532

Prime Factorization of 56538

Now multiplying the highest exponent prime factors to calculate the LCM of 56532 and 56538.

LCM(56532,56538) = 2² × 3⁴ × 7¹ × 673¹ × 349¹
LCM(56532,56538) = 532701036