What is the Least Common Multiple of 7168 and 7185?

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 7168 and 7185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7168 and 7185, than apply into the LCM equation.

GCF(7168,7185) = 1
LCM(7168,7185) = ( 7168 × 7185) / 1
LCM(7168,7185) = 51502080 / 1
LCM(7168,7185) = 51502080

Least Common Multiple (LCM) of 7168 and 7185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7168 and 7185. First we will calculate the prime factors of 7168 and 7185.

Prime Factorization of 7168

Prime Factorization of 7185

Now multiplying the highest exponent prime factors to calculate the LCM of 7168 and 7185.

LCM(7168,7185) = 2¹⁰ × 7¹ × 3¹ × 5¹ × 479¹
LCM(7168,7185) = 51502080