What is the Least Common Multiple of 56824 and 56839?

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 56824 and 56839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56824 and 56839, than apply into the LCM equation.

GCF(56824,56839) = 1
LCM(56824,56839) = ( 56824 × 56839) / 1
LCM(56824,56839) = 3229819336 / 1
LCM(56824,56839) = 3229819336

Least Common Multiple (LCM) of 56824 and 56839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56824 and 56839. First we will calculate the prime factors of 56824 and 56839.

Prime Factorization of 56824

Prime Factorization of 56839

Now multiplying the highest exponent prime factors to calculate the LCM of 56824 and 56839.

LCM(56824,56839) = 2³ × 7103¹ × 113¹ × 503¹
LCM(56824,56839) = 3229819336