What is the Least Common Multiple of 56704 and 56724?

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 56704 and 56724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56704 and 56724, than apply into the LCM equation.

GCF(56704,56724) = 4
LCM(56704,56724) = ( 56704 × 56724) / 4
LCM(56704,56724) = 3216477696 / 4
LCM(56704,56724) = 804119424

Least Common Multiple (LCM) of 56704 and 56724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56704 and 56724. First we will calculate the prime factors of 56704 and 56724.

Prime Factorization of 56704

Prime Factorization of 56724

Now multiplying the highest exponent prime factors to calculate the LCM of 56704 and 56724.

LCM(56704,56724) = 2⁷ × 443¹ × 3¹ × 29¹ × 163¹
LCM(56704,56724) = 804119424