What is the Least Common Multiple of 65144 and 65161?

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 65144 and 65161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65144 and 65161, than apply into the LCM equation.

GCF(65144,65161) = 17
LCM(65144,65161) = ( 65144 × 65161) / 17
LCM(65144,65161) = 4244848184 / 17
LCM(65144,65161) = 249696952

Least Common Multiple (LCM) of 65144 and 65161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65144 and 65161. First we will calculate the prime factors of 65144 and 65161.

Prime Factorization of 65144

Prime Factorization of 65161

Now multiplying the highest exponent prime factors to calculate the LCM of 65144 and 65161.

LCM(65144,65161) = 2³ × 17¹ × 479¹ × 3833¹
LCM(65144,65161) = 249696952