What is the Least Common Multiple of 34144 and 34158?

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 34144 and 34158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34144 and 34158, than apply into the LCM equation.

GCF(34144,34158) = 2
LCM(34144,34158) = ( 34144 × 34158) / 2
LCM(34144,34158) = 1166290752 / 2
LCM(34144,34158) = 583145376

Least Common Multiple (LCM) of 34144 and 34158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34144 and 34158. First we will calculate the prime factors of 34144 and 34158.

Prime Factorization of 34144

Prime Factorization of 34158

Now multiplying the highest exponent prime factors to calculate the LCM of 34144 and 34158.

LCM(34144,34158) = 2⁵ × 11¹ × 97¹ × 3¹ × 5693¹
LCM(34144,34158) = 583145376