What is the Least Common Multiple of 10144 and 10152?

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 10152 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 10152, than apply into the LCM equation.

GCF(10144,10152) = 8
LCM(10144,10152) = ( 10144 × 10152) / 8
LCM(10144,10152) = 102981888 / 8
LCM(10144,10152) = 12872736

Least Common Multiple (LCM) of 10144 and 10152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10144 and 10152. First we will calculate the prime factors of 10144 and 10152.

Prime Factorization of 10144

Prime Factorization of 10152

Now multiplying the highest exponent prime factors to calculate the LCM of 10144 and 10152.

LCM(10144,10152) = 2⁵ × 317¹ × 3³ × 47¹
LCM(10144,10152) = 12872736