What is the Least Common Multiple of 88848 and 88864?

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 88848 and 88864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88848 and 88864, than apply into the LCM equation.

GCF(88848,88864) = 16
LCM(88848,88864) = ( 88848 × 88864) / 16
LCM(88848,88864) = 7895388672 / 16
LCM(88848,88864) = 493461792

Least Common Multiple (LCM) of 88848 and 88864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88848 and 88864. First we will calculate the prime factors of 88848 and 88864.

Prime Factorization of 88848

Prime Factorization of 88864

Now multiplying the highest exponent prime factors to calculate the LCM of 88848 and 88864.

LCM(88848,88864) = 2⁵ × 3² × 617¹ × 2777¹
LCM(88848,88864) = 493461792