What is the Least Common Multiple of 65160 and 65174?

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 65160 and 65174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65160 and 65174, than apply into the LCM equation.

GCF(65160,65174) = 2
LCM(65160,65174) = ( 65160 × 65174) / 2
LCM(65160,65174) = 4246737840 / 2
LCM(65160,65174) = 2123368920

Least Common Multiple (LCM) of 65160 and 65174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65160 and 65174. First we will calculate the prime factors of 65160 and 65174.

Prime Factorization of 65160

Prime Factorization of 65174

Now multiplying the highest exponent prime factors to calculate the LCM of 65160 and 65174.

LCM(65160,65174) = 2³ × 3² × 5¹ × 181¹ × 32587¹
LCM(65160,65174) = 2123368920