What is the Least Common Multiple of 71824 and 71841?

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 71841 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 71841, than apply into the LCM equation.

GCF(71824,71841) = 1
LCM(71824,71841) = ( 71824 × 71841) / 1
LCM(71824,71841) = 5159907984 / 1
LCM(71824,71841) = 5159907984

Least Common Multiple (LCM) of 71824 and 71841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71824 and 71841. First we will calculate the prime factors of 71824 and 71841.

Prime Factorization of 71824

Prime Factorization of 71841

Now multiplying the highest exponent prime factors to calculate the LCM of 71824 and 71841.

LCM(71824,71841) = 2⁴ × 67² × 3¹ × 7¹ × 11¹ × 311¹
LCM(71824,71841) = 5159907984