What is the Least Common Multiple of 52848 and 52865?

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 52848 and 52865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52848 and 52865, than apply into the LCM equation.

GCF(52848,52865) = 1
LCM(52848,52865) = ( 52848 × 52865) / 1
LCM(52848,52865) = 2793809520 / 1
LCM(52848,52865) = 2793809520

Least Common Multiple (LCM) of 52848 and 52865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52848 and 52865. First we will calculate the prime factors of 52848 and 52865.

Prime Factorization of 52848

Prime Factorization of 52865

Now multiplying the highest exponent prime factors to calculate the LCM of 52848 and 52865.

LCM(52848,52865) = 2⁴ × 3² × 367¹ × 5¹ × 97¹ × 109¹
LCM(52848,52865) = 2793809520