What is the Least Common Multiple of 71824 and 71839?

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 71824 and 71839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71824 and 71839, than apply into the LCM equation.

GCF(71824,71839) = 1
LCM(71824,71839) = ( 71824 × 71839) / 1
LCM(71824,71839) = 5159764336 / 1
LCM(71824,71839) = 5159764336

Least Common Multiple (LCM) of 71824 and 71839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71824 and 71839. First we will calculate the prime factors of 71824 and 71839.

Prime Factorization of 71824

Prime Factorization of 71839

Now multiplying the highest exponent prime factors to calculate the LCM of 71824 and 71839.

LCM(71824,71839) = 2⁴ × 67² × 19² × 199¹
LCM(71824,71839) = 5159764336