What is the Least Common Multiple of 56075 and 56084?

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 56075 and 56084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56075 and 56084, than apply into the LCM equation.

GCF(56075,56084) = 1
LCM(56075,56084) = ( 56075 × 56084) / 1
LCM(56075,56084) = 3144910300 / 1
LCM(56075,56084) = 3144910300

Least Common Multiple (LCM) of 56075 and 56084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56075 and 56084. First we will calculate the prime factors of 56075 and 56084.

Prime Factorization of 56075

Prime Factorization of 56084

Now multiplying the highest exponent prime factors to calculate the LCM of 56075 and 56084.

LCM(56075,56084) = 5² × 2243¹ × 2² × 7¹ × 2003¹
LCM(56075,56084) = 3144910300