What is the Least Common Multiple of 56900 and 56904?

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 56900 and 56904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56900 and 56904, than apply into the LCM equation.

GCF(56900,56904) = 4
LCM(56900,56904) = ( 56900 × 56904) / 4
LCM(56900,56904) = 3237837600 / 4
LCM(56900,56904) = 809459400

Least Common Multiple (LCM) of 56900 and 56904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56900 and 56904. First we will calculate the prime factors of 56900 and 56904.

Prime Factorization of 56900

Prime Factorization of 56904

Now multiplying the highest exponent prime factors to calculate the LCM of 56900 and 56904.

LCM(56900,56904) = 2³ × 5² × 569¹ × 3¹ × 2371¹
LCM(56900,56904) = 809459400