What is the Least Common Multiple of 78864 and 78884?

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 78864 and 78884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78864 and 78884, than apply into the LCM equation.

GCF(78864,78884) = 4
LCM(78864,78884) = ( 78864 × 78884) / 4
LCM(78864,78884) = 6221107776 / 4
LCM(78864,78884) = 1555276944

Least Common Multiple (LCM) of 78864 and 78884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78864 and 78884. First we will calculate the prime factors of 78864 and 78884.

Prime Factorization of 78864

Prime Factorization of 78884

Now multiplying the highest exponent prime factors to calculate the LCM of 78864 and 78884.

LCM(78864,78884) = 2⁴ × 3¹ × 31¹ × 53¹ × 13¹ × 37¹ × 41¹
LCM(78864,78884) = 1555276944