What is the Least Common Multiple of 4075 and 4081?

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 4075 and 4081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4075 and 4081, than apply into the LCM equation.

GCF(4075,4081) = 1
LCM(4075,4081) = ( 4075 × 4081) / 1
LCM(4075,4081) = 16630075 / 1
LCM(4075,4081) = 16630075

Least Common Multiple (LCM) of 4075 and 4081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4075 and 4081. First we will calculate the prime factors of 4075 and 4081.

Prime Factorization of 4075

Prime Factorization of 4081

Now multiplying the highest exponent prime factors to calculate the LCM of 4075 and 4081.

LCM(4075,4081) = 5² × 163¹ × 7¹ × 11¹ × 53¹
LCM(4075,4081) = 16630075