What is the Least Common Multiple of 86048 and 86054?

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 86048 and 86054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86048 and 86054, than apply into the LCM equation.

GCF(86048,86054) = 2
LCM(86048,86054) = ( 86048 × 86054) / 2
LCM(86048,86054) = 7404774592 / 2
LCM(86048,86054) = 3702387296

Least Common Multiple (LCM) of 86048 and 86054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86048 and 86054. First we will calculate the prime factors of 86048 and 86054.

Prime Factorization of 86048

Prime Factorization of 86054

Now multiplying the highest exponent prime factors to calculate the LCM of 86048 and 86054.

LCM(86048,86054) = 2⁵ × 2689¹ × 17¹ × 2531¹
LCM(86048,86054) = 3702387296