What is the Least Common Multiple of 35889 and 35904?

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 35889 and 35904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35889 and 35904, than apply into the LCM equation.

GCF(35889,35904) = 3
LCM(35889,35904) = ( 35889 × 35904) / 3
LCM(35889,35904) = 1288558656 / 3
LCM(35889,35904) = 429519552

Least Common Multiple (LCM) of 35889 and 35904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35889 and 35904. First we will calculate the prime factors of 35889 and 35904.

Prime Factorization of 35889

Prime Factorization of 35904

Now multiplying the highest exponent prime factors to calculate the LCM of 35889 and 35904.

LCM(35889,35904) = 3¹ × 7¹ × 1709¹ × 2⁶ × 11¹ × 17¹
LCM(35889,35904) = 429519552