What is the Least Common Multiple of 84864 and 84880?

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 84880 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 84880, than apply into the LCM equation.

GCF(84864,84880) = 16
LCM(84864,84880) = ( 84864 × 84880) / 16
LCM(84864,84880) = 7203256320 / 16
LCM(84864,84880) = 450203520

Least Common Multiple (LCM) of 84864 and 84880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84864 and 84880. First we will calculate the prime factors of 84864 and 84880.

Prime Factorization of 84864

Prime Factorization of 84880

Now multiplying the highest exponent prime factors to calculate the LCM of 84864 and 84880.

LCM(84864,84880) = 2⁷ × 3¹ × 13¹ × 17¹ × 5¹ × 1061¹
LCM(84864,84880) = 450203520