What is the Least Common Multiple of 12814 and 12824?

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 12814 and 12824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12814 and 12824, than apply into the LCM equation.

GCF(12814,12824) = 2
LCM(12814,12824) = ( 12814 × 12824) / 2
LCM(12814,12824) = 164326736 / 2
LCM(12814,12824) = 82163368

Least Common Multiple (LCM) of 12814 and 12824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12814 and 12824. First we will calculate the prime factors of 12814 and 12824.

Prime Factorization of 12814

Prime Factorization of 12824

Now multiplying the highest exponent prime factors to calculate the LCM of 12814 and 12824.

LCM(12814,12824) = 2³ × 43¹ × 149¹ × 7¹ × 229¹
LCM(12814,12824) = 82163368