What is the Least Common Multiple of 54780 and 54784?

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 54780 and 54784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54780 and 54784, than apply into the LCM equation.

GCF(54780,54784) = 4
LCM(54780,54784) = ( 54780 × 54784) / 4
LCM(54780,54784) = 3001067520 / 4
LCM(54780,54784) = 750266880

Least Common Multiple (LCM) of 54780 and 54784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54780 and 54784. First we will calculate the prime factors of 54780 and 54784.

Prime Factorization of 54780

Prime Factorization of 54784

Now multiplying the highest exponent prime factors to calculate the LCM of 54780 and 54784.

LCM(54780,54784) = 2⁹ × 3¹ × 5¹ × 11¹ × 83¹ × 107¹
LCM(54780,54784) = 750266880