What is the Least Common Multiple of 54774 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 54774 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 54774 and 54784, than apply into the LCM equation.

GCF(54774,54784) = 2
LCM(54774,54784) = ( 54774 × 54784) / 2
LCM(54774,54784) = 3000738816 / 2
LCM(54774,54784) = 1500369408

Least Common Multiple (LCM) of 54774 and 54784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54774 and 54784. First we will calculate the prime factors of 54774 and 54784.

Prime Factorization of 54774

Prime Factorization of 54784

Now multiplying the highest exponent prime factors to calculate the LCM of 54774 and 54784.

LCM(54774,54784) = 2⁹ × 3² × 17¹ × 179¹ × 107¹
LCM(54774,54784) = 1500369408