What is the Least Common Multiple of 54900 and 54904?

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 54900 and 54904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54900 and 54904, than apply into the LCM equation.

GCF(54900,54904) = 4
LCM(54900,54904) = ( 54900 × 54904) / 4
LCM(54900,54904) = 3014229600 / 4
LCM(54900,54904) = 753557400

Least Common Multiple (LCM) of 54900 and 54904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54900 and 54904. First we will calculate the prime factors of 54900 and 54904.

Prime Factorization of 54900

Prime Factorization of 54904

Now multiplying the highest exponent prime factors to calculate the LCM of 54900 and 54904.

LCM(54900,54904) = 2³ × 3² × 5² × 61¹ × 6863¹
LCM(54900,54904) = 753557400