What is the Least Common Multiple of 71504 and 71519?

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 71504 and 71519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71504 and 71519, than apply into the LCM equation.

GCF(71504,71519) = 1
LCM(71504,71519) = ( 71504 × 71519) / 1
LCM(71504,71519) = 5113894576 / 1
LCM(71504,71519) = 5113894576

Least Common Multiple (LCM) of 71504 and 71519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71504 and 71519. First we will calculate the prime factors of 71504 and 71519.

Prime Factorization of 71504

Prime Factorization of 71519

Now multiplying the highest exponent prime factors to calculate the LCM of 71504 and 71519.

LCM(71504,71519) = 2⁴ × 41¹ × 109¹ × 7¹ × 17¹ × 601¹
LCM(71504,71519) = 5113894576