What is the Least Common Multiple of 86144 and 86158?

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 86158 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 86158, than apply into the LCM equation.

GCF(86144,86158) = 2
LCM(86144,86158) = ( 86144 × 86158) / 2
LCM(86144,86158) = 7421994752 / 2
LCM(86144,86158) = 3710997376

Least Common Multiple (LCM) of 86144 and 86158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86144 and 86158. First we will calculate the prime factors of 86144 and 86158.

Prime Factorization of 86144

Prime Factorization of 86158

Now multiplying the highest exponent prime factors to calculate the LCM of 86144 and 86158.

LCM(86144,86158) = 2⁷ × 673¹ × 23¹ × 1873¹
LCM(86144,86158) = 3710997376