What is the Least Common Multiple of 56784 and 56789?

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 56789 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 56789, than apply into the LCM equation.

GCF(56784,56789) = 1
LCM(56784,56789) = ( 56784 × 56789) / 1
LCM(56784,56789) = 3224706576 / 1
LCM(56784,56789) = 3224706576

Least Common Multiple (LCM) of 56784 and 56789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56784 and 56789. First we will calculate the prime factors of 56784 and 56789.

Prime Factorization of 56784

Prime Factorization of 56789

Now multiplying the highest exponent prime factors to calculate the LCM of 56784 and 56789.

LCM(56784,56789) = 2⁴ × 3¹ × 7¹ × 13² × 109¹ × 521¹
LCM(56784,56789) = 3224706576