What is the Least Common Multiple of 8075 and 8095?

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 8075 and 8095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8075 and 8095, than apply into the LCM equation.

GCF(8075,8095) = 5
LCM(8075,8095) = ( 8075 × 8095) / 5
LCM(8075,8095) = 65367125 / 5
LCM(8075,8095) = 13073425

Least Common Multiple (LCM) of 8075 and 8095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8075 and 8095. First we will calculate the prime factors of 8075 and 8095.

Prime Factorization of 8075

Prime Factorization of 8095

Now multiplying the highest exponent prime factors to calculate the LCM of 8075 and 8095.

LCM(8075,8095) = 5² × 17¹ × 19¹ × 1619¹
LCM(8075,8095) = 13073425