What is the Least Common Multiple of 37168 and 37174?

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 37168 and 37174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37168 and 37174, than apply into the LCM equation.

GCF(37168,37174) = 2
LCM(37168,37174) = ( 37168 × 37174) / 2
LCM(37168,37174) = 1381683232 / 2
LCM(37168,37174) = 690841616

Least Common Multiple (LCM) of 37168 and 37174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37168 and 37174. First we will calculate the prime factors of 37168 and 37174.

Prime Factorization of 37168

Prime Factorization of 37174

Now multiplying the highest exponent prime factors to calculate the LCM of 37168 and 37174.

LCM(37168,37174) = 2⁴ × 23¹ × 101¹ × 18587¹
LCM(37168,37174) = 690841616