What is the Least Common Multiple of 56784 and 56796?

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 56784 and 56796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56784 and 56796, than apply into the LCM equation.

GCF(56784,56796) = 12
LCM(56784,56796) = ( 56784 × 56796) / 12
LCM(56784,56796) = 3225104064 / 12
LCM(56784,56796) = 268758672

Least Common Multiple (LCM) of 56784 and 56796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56784 and 56796. First we will calculate the prime factors of 56784 and 56796.

Prime Factorization of 56784

Prime Factorization of 56796

Now multiplying the highest exponent prime factors to calculate the LCM of 56784 and 56796.

LCM(56784,56796) = 2⁴ × 3¹ × 7¹ × 13² × 4733¹
LCM(56784,56796) = 268758672