What is the Least Common Multiple of 49168 and 49174?

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 49168 and 49174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49168 and 49174, than apply into the LCM equation.

GCF(49168,49174) = 2
LCM(49168,49174) = ( 49168 × 49174) / 2
LCM(49168,49174) = 2417787232 / 2
LCM(49168,49174) = 1208893616

Least Common Multiple (LCM) of 49168 and 49174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49168 and 49174. First we will calculate the prime factors of 49168 and 49174.

Prime Factorization of 49168

Prime Factorization of 49174

Now multiplying the highest exponent prime factors to calculate the LCM of 49168 and 49174.

LCM(49168,49174) = 2⁴ × 7¹ × 439¹ × 23¹ × 1069¹
LCM(49168,49174) = 1208893616