What is the Least Common Multiple of 71504 and 71520?

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 71520 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 71520, than apply into the LCM equation.

GCF(71504,71520) = 16
LCM(71504,71520) = ( 71504 × 71520) / 16
LCM(71504,71520) = 5113966080 / 16
LCM(71504,71520) = 319622880

Least Common Multiple (LCM) of 71504 and 71520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71504 and 71520. First we will calculate the prime factors of 71504 and 71520.

Prime Factorization of 71504

Prime Factorization of 71520

Now multiplying the highest exponent prime factors to calculate the LCM of 71504 and 71520.

LCM(71504,71520) = 2⁵ × 41¹ × 109¹ × 3¹ × 5¹ × 149¹
LCM(71504,71520) = 319622880