What is the Least Common Multiple of 54784 and 54792?

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 54784 and 54792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54784 and 54792, than apply into the LCM equation.

GCF(54784,54792) = 8
LCM(54784,54792) = ( 54784 × 54792) / 8
LCM(54784,54792) = 3001724928 / 8
LCM(54784,54792) = 375215616

Least Common Multiple (LCM) of 54784 and 54792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54784 and 54792. First we will calculate the prime factors of 54784 and 54792.

Prime Factorization of 54784

Prime Factorization of 54792

Now multiplying the highest exponent prime factors to calculate the LCM of 54784 and 54792.

LCM(54784,54792) = 2⁹ × 107¹ × 3² × 761¹
LCM(54784,54792) = 375215616