What is the Least Common Multiple of 5075 and 5081?

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 5075 and 5081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5075 and 5081, than apply into the LCM equation.

GCF(5075,5081) = 1
LCM(5075,5081) = ( 5075 × 5081) / 1
LCM(5075,5081) = 25786075 / 1
LCM(5075,5081) = 25786075

Least Common Multiple (LCM) of 5075 and 5081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5075 and 5081. First we will calculate the prime factors of 5075 and 5081.

Prime Factorization of 5075

Prime Factorization of 5081

Now multiplying the highest exponent prime factors to calculate the LCM of 5075 and 5081.

LCM(5075,5081) = 5² × 7¹ × 29¹ × 5081¹
LCM(5075,5081) = 25786075