What is the Least Common Multiple of 71808 and 71825?

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 71808 and 71825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71808 and 71825, than apply into the LCM equation.

GCF(71808,71825) = 17
LCM(71808,71825) = ( 71808 × 71825) / 17
LCM(71808,71825) = 5157609600 / 17
LCM(71808,71825) = 303388800

Least Common Multiple (LCM) of 71808 and 71825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71808 and 71825. First we will calculate the prime factors of 71808 and 71825.

Prime Factorization of 71808

Prime Factorization of 71825

Now multiplying the highest exponent prime factors to calculate the LCM of 71808 and 71825.

LCM(71808,71825) = 2⁷ × 3¹ × 11¹ × 17¹ × 5² × 13²
LCM(71808,71825) = 303388800