What is the Least Common Multiple of 7965 and 7975?

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 7965 and 7975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7965 and 7975, than apply into the LCM equation.

GCF(7965,7975) = 5
LCM(7965,7975) = ( 7965 × 7975) / 5
LCM(7965,7975) = 63520875 / 5
LCM(7965,7975) = 12704175

Least Common Multiple (LCM) of 7965 and 7975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7965 and 7975. First we will calculate the prime factors of 7965 and 7975.

Prime Factorization of 7965

Prime Factorization of 7975

Now multiplying the highest exponent prime factors to calculate the LCM of 7965 and 7975.

LCM(7965,7975) = 3³ × 5² × 59¹ × 11¹ × 29¹
LCM(7965,7975) = 12704175