What is the Least Common Multiple of 56784 and 56800?

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 56800 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 56800, than apply into the LCM equation.

GCF(56784,56800) = 16
LCM(56784,56800) = ( 56784 × 56800) / 16
LCM(56784,56800) = 3225331200 / 16
LCM(56784,56800) = 201583200

Least Common Multiple (LCM) of 56784 and 56800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56784 and 56800. First we will calculate the prime factors of 56784 and 56800.

Prime Factorization of 56784

Prime Factorization of 56800

Now multiplying the highest exponent prime factors to calculate the LCM of 56784 and 56800.

LCM(56784,56800) = 2⁵ × 3¹ × 7¹ × 13² × 5² × 71¹
LCM(56784,56800) = 201583200