What is the Least Common Multiple of 86048 and 86068?

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 86068 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 86068, than apply into the LCM equation.

GCF(86048,86068) = 4
LCM(86048,86068) = ( 86048 × 86068) / 4
LCM(86048,86068) = 7405979264 / 4
LCM(86048,86068) = 1851494816

Least Common Multiple (LCM) of 86048 and 86068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86048 and 86068. First we will calculate the prime factors of 86048 and 86068.

Prime Factorization of 86048

Prime Factorization of 86068

Now multiplying the highest exponent prime factors to calculate the LCM of 86048 and 86068.

LCM(86048,86068) = 2⁵ × 2689¹ × 21517¹
LCM(86048,86068) = 1851494816