What is the Least Common Multiple of 43145 and 43160?

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 43145 and 43160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43145 and 43160, than apply into the LCM equation.

GCF(43145,43160) = 5
LCM(43145,43160) = ( 43145 × 43160) / 5
LCM(43145,43160) = 1862138200 / 5
LCM(43145,43160) = 372427640

Least Common Multiple (LCM) of 43145 and 43160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43145 and 43160. First we will calculate the prime factors of 43145 and 43160.

Prime Factorization of 43145

Prime Factorization of 43160

Now multiplying the highest exponent prime factors to calculate the LCM of 43145 and 43160.

LCM(43145,43160) = 5¹ × 8629¹ × 2³ × 13¹ × 83¹
LCM(43145,43160) = 372427640