What is the Least Common Multiple of 86144 and 86161?

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 86144 and 86161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86144 and 86161, than apply into the LCM equation.

GCF(86144,86161) = 1
LCM(86144,86161) = ( 86144 × 86161) / 1
LCM(86144,86161) = 7422253184 / 1
LCM(86144,86161) = 7422253184

Least Common Multiple (LCM) of 86144 and 86161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86144 and 86161. First we will calculate the prime factors of 86144 and 86161.

Prime Factorization of 86144

Prime Factorization of 86161

Now multiplying the highest exponent prime factors to calculate the LCM of 86144 and 86161.

LCM(86144,86161) = 2⁷ × 673¹ × 86161¹
LCM(86144,86161) = 7422253184