What is the Least Common Multiple of 10144 and 10162?

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 10144 and 10162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10144 and 10162, than apply into the LCM equation.

GCF(10144,10162) = 2
LCM(10144,10162) = ( 10144 × 10162) / 2
LCM(10144,10162) = 103083328 / 2
LCM(10144,10162) = 51541664

Least Common Multiple (LCM) of 10144 and 10162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10144 and 10162. First we will calculate the prime factors of 10144 and 10162.

Prime Factorization of 10144

Prime Factorization of 10162

Now multiplying the highest exponent prime factors to calculate the LCM of 10144 and 10162.

LCM(10144,10162) = 2⁵ × 317¹ × 5081¹
LCM(10144,10162) = 51541664