What is the Least Common Multiple of 56808 and 56824?

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 56808 and 56824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56808 and 56824, than apply into the LCM equation.

GCF(56808,56824) = 8
LCM(56808,56824) = ( 56808 × 56824) / 8
LCM(56808,56824) = 3228057792 / 8
LCM(56808,56824) = 403507224

Least Common Multiple (LCM) of 56808 and 56824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56808 and 56824. First we will calculate the prime factors of 56808 and 56824.

Prime Factorization of 56808

Prime Factorization of 56824

Now multiplying the highest exponent prime factors to calculate the LCM of 56808 and 56824.

LCM(56808,56824) = 2³ × 3³ × 263¹ × 7103¹
LCM(56808,56824) = 403507224