What is the Least Common Multiple of 56895 and 56900?

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 56895 and 56900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56895 and 56900, than apply into the LCM equation.

GCF(56895,56900) = 5
LCM(56895,56900) = ( 56895 × 56900) / 5
LCM(56895,56900) = 3237325500 / 5
LCM(56895,56900) = 647465100

Least Common Multiple (LCM) of 56895 and 56900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56895 and 56900. First we will calculate the prime factors of 56895 and 56900.

Prime Factorization of 56895

Prime Factorization of 56900

Now multiplying the highest exponent prime factors to calculate the LCM of 56895 and 56900.

LCM(56895,56900) = 3¹ × 5² × 3793¹ × 2² × 569¹
LCM(56895,56900) = 647465100