What is the Least Common Multiple of 4075 and 4087?

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 4087 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 4087, than apply into the LCM equation.

GCF(4075,4087) = 1
LCM(4075,4087) = ( 4075 × 4087) / 1
LCM(4075,4087) = 16654525 / 1
LCM(4075,4087) = 16654525

Least Common Multiple (LCM) of 4075 and 4087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4075 and 4087. First we will calculate the prime factors of 4075 and 4087.

Prime Factorization of 4075

Prime Factorization of 4087

Now multiplying the highest exponent prime factors to calculate the LCM of 4075 and 4087.

LCM(4075,4087) = 5² × 163¹ × 61¹ × 67¹
LCM(4075,4087) = 16654525