What is the Least Common Multiple of 52848 and 52864?

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 52864 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 52864, than apply into the LCM equation.

GCF(52848,52864) = 16
LCM(52848,52864) = ( 52848 × 52864) / 16
LCM(52848,52864) = 2793756672 / 16
LCM(52848,52864) = 174609792

Least Common Multiple (LCM) of 52848 and 52864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52848 and 52864. First we will calculate the prime factors of 52848 and 52864.

Prime Factorization of 52848

Prime Factorization of 52864

Now multiplying the highest exponent prime factors to calculate the LCM of 52848 and 52864.

LCM(52848,52864) = 2⁷ × 3² × 367¹ × 7¹ × 59¹
LCM(52848,52864) = 174609792