What is the Least Common Multiple of 66848 and 66865?

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 66848 and 66865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66848 and 66865, than apply into the LCM equation.

GCF(66848,66865) = 1
LCM(66848,66865) = ( 66848 × 66865) / 1
LCM(66848,66865) = 4469791520 / 1
LCM(66848,66865) = 4469791520

Least Common Multiple (LCM) of 66848 and 66865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66848 and 66865. First we will calculate the prime factors of 66848 and 66865.

Prime Factorization of 66848

Prime Factorization of 66865

Now multiplying the highest exponent prime factors to calculate the LCM of 66848 and 66865.

LCM(66848,66865) = 2⁵ × 2089¹ × 5¹ × 43¹ × 311¹
LCM(66848,66865) = 4469791520