What is the Least Common Multiple of 78849 and 78864?

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 78849 and 78864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78849 and 78864, than apply into the LCM equation.

GCF(78849,78864) = 3
LCM(78849,78864) = ( 78849 × 78864) / 3
LCM(78849,78864) = 6218347536 / 3
LCM(78849,78864) = 2072782512

Least Common Multiple (LCM) of 78849 and 78864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78849 and 78864. First we will calculate the prime factors of 78849 and 78864.

Prime Factorization of 78849

Prime Factorization of 78864

Now multiplying the highest exponent prime factors to calculate the LCM of 78849 and 78864.

LCM(78849,78864) = 3² × 8761¹ × 2⁴ × 31¹ × 53¹
LCM(78849,78864) = 2072782512