What is the Least Common Multiple of 56900 and 56909?

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 56909 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 56909, than apply into the LCM equation.

GCF(56900,56909) = 1
LCM(56900,56909) = ( 56900 × 56909) / 1
LCM(56900,56909) = 3238122100 / 1
LCM(56900,56909) = 3238122100

Least Common Multiple (LCM) of 56900 and 56909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56900 and 56909. First we will calculate the prime factors of 56900 and 56909.

Prime Factorization of 56900

Prime Factorization of 56909

Now multiplying the highest exponent prime factors to calculate the LCM of 56900 and 56909.

LCM(56900,56909) = 2² × 5² × 569¹ × 56909¹
LCM(56900,56909) = 3238122100