What is the Least Common Multiple of 84864 and 84868?

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 84864 and 84868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84864 and 84868, than apply into the LCM equation.

GCF(84864,84868) = 4
LCM(84864,84868) = ( 84864 × 84868) / 4
LCM(84864,84868) = 7202237952 / 4
LCM(84864,84868) = 1800559488

Least Common Multiple (LCM) of 84864 and 84868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84864 and 84868. First we will calculate the prime factors of 84864 and 84868.

Prime Factorization of 84864

Prime Factorization of 84868

Now multiplying the highest exponent prime factors to calculate the LCM of 84864 and 84868.

LCM(84864,84868) = 2⁷ × 3¹ × 13¹ × 17¹ × 7² × 433¹
LCM(84864,84868) = 1800559488