What is the Least Common Multiple of 88848 and 88861?

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 88861 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 88861, than apply into the LCM equation.

GCF(88848,88861) = 1
LCM(88848,88861) = ( 88848 × 88861) / 1
LCM(88848,88861) = 7895122128 / 1
LCM(88848,88861) = 7895122128

Least Common Multiple (LCM) of 88848 and 88861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88848 and 88861. First we will calculate the prime factors of 88848 and 88861.

Prime Factorization of 88848

Prime Factorization of 88861

Now multiplying the highest exponent prime factors to calculate the LCM of 88848 and 88861.

LCM(88848,88861) = 2⁴ × 3² × 617¹ × 88861¹
LCM(88848,88861) = 7895122128