What is the Least Common Multiple of 51849 and 51864?

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 51849 and 51864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51849 and 51864, than apply into the LCM equation.

GCF(51849,51864) = 3
LCM(51849,51864) = ( 51849 × 51864) / 3
LCM(51849,51864) = 2689096536 / 3
LCM(51849,51864) = 896365512

Least Common Multiple (LCM) of 51849 and 51864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51849 and 51864. First we will calculate the prime factors of 51849 and 51864.

Prime Factorization of 51849

Prime Factorization of 51864

Now multiplying the highest exponent prime factors to calculate the LCM of 51849 and 51864.

LCM(51849,51864) = 3² × 7¹ × 823¹ × 2³ × 2161¹
LCM(51849,51864) = 896365512