What is the Least Common Multiple of 56772 and 56784?

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 56772 and 56784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56772 and 56784, than apply into the LCM equation.

GCF(56772,56784) = 12
LCM(56772,56784) = ( 56772 × 56784) / 12
LCM(56772,56784) = 3223741248 / 12
LCM(56772,56784) = 268645104

Least Common Multiple (LCM) of 56772 and 56784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56772 and 56784. First we will calculate the prime factors of 56772 and 56784.

Prime Factorization of 56772

Prime Factorization of 56784

Now multiplying the highest exponent prime factors to calculate the LCM of 56772 and 56784.

LCM(56772,56784) = 2⁴ × 3² × 19¹ × 83¹ × 7¹ × 13²
LCM(56772,56784) = 268645104