What is the Least Common Multiple of 56189 and 56200?

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 56189 and 56200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56189 and 56200, than apply into the LCM equation.

GCF(56189,56200) = 1
LCM(56189,56200) = ( 56189 × 56200) / 1
LCM(56189,56200) = 3157821800 / 1
LCM(56189,56200) = 3157821800

Least Common Multiple (LCM) of 56189 and 56200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56189 and 56200. First we will calculate the prime factors of 56189 and 56200.

Prime Factorization of 56189

Prime Factorization of 56200

Now multiplying the highest exponent prime factors to calculate the LCM of 56189 and 56200.

LCM(56189,56200) = 7¹ × 23¹ × 349¹ × 2³ × 5² × 281¹
LCM(56189,56200) = 3157821800