What is the Least Common Multiple of 40160 and 40174?

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 40160 and 40174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40160 and 40174, than apply into the LCM equation.

GCF(40160,40174) = 2
LCM(40160,40174) = ( 40160 × 40174) / 2
LCM(40160,40174) = 1613387840 / 2
LCM(40160,40174) = 806693920

Least Common Multiple (LCM) of 40160 and 40174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40160 and 40174. First we will calculate the prime factors of 40160 and 40174.

Prime Factorization of 40160

Prime Factorization of 40174

Now multiplying the highest exponent prime factors to calculate the LCM of 40160 and 40174.

LCM(40160,40174) = 2⁵ × 5¹ × 251¹ × 53¹ × 379¹
LCM(40160,40174) = 806693920