What is the Least Common Multiple of 57160 and 57165?

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 57160 and 57165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57160 and 57165, than apply into the LCM equation.

GCF(57160,57165) = 5
LCM(57160,57165) = ( 57160 × 57165) / 5
LCM(57160,57165) = 3267551400 / 5
LCM(57160,57165) = 653510280

Least Common Multiple (LCM) of 57160 and 57165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57160 and 57165. First we will calculate the prime factors of 57160 and 57165.

Prime Factorization of 57160

Prime Factorization of 57165

Now multiplying the highest exponent prime factors to calculate the LCM of 57160 and 57165.

LCM(57160,57165) = 2³ × 5¹ × 1429¹ × 3¹ × 37¹ × 103¹
LCM(57160,57165) = 653510280