What is the Least Common Multiple of 71804 and 71824?

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 71804 and 71824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71804 and 71824, than apply into the LCM equation.

GCF(71804,71824) = 4
LCM(71804,71824) = ( 71804 × 71824) / 4
LCM(71804,71824) = 5157250496 / 4
LCM(71804,71824) = 1289312624

Least Common Multiple (LCM) of 71804 and 71824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71804 and 71824. First we will calculate the prime factors of 71804 and 71824.

Prime Factorization of 71804

Prime Factorization of 71824

Now multiplying the highest exponent prime factors to calculate the LCM of 71804 and 71824.

LCM(71804,71824) = 2⁴ × 29¹ × 619¹ × 67²
LCM(71804,71824) = 1289312624