What is the Least Common Multiple of 54878 and 54896?

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 54878 and 54896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54878 and 54896, than apply into the LCM equation.

GCF(54878,54896) = 2
LCM(54878,54896) = ( 54878 × 54896) / 2
LCM(54878,54896) = 3012582688 / 2
LCM(54878,54896) = 1506291344

Least Common Multiple (LCM) of 54878 and 54896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54878 and 54896. First we will calculate the prime factors of 54878 and 54896.

Prime Factorization of 54878

Prime Factorization of 54896

Now multiplying the highest exponent prime factors to calculate the LCM of 54878 and 54896.

LCM(54878,54896) = 2⁴ × 23¹ × 1193¹ × 47¹ × 73¹
LCM(54878,54896) = 1506291344