What is the Least Common Multiple of 35875 and 35882?

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 35875 and 35882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35875 and 35882, than apply into the LCM equation.

GCF(35875,35882) = 7
LCM(35875,35882) = ( 35875 × 35882) / 7
LCM(35875,35882) = 1287266750 / 7
LCM(35875,35882) = 183895250

Least Common Multiple (LCM) of 35875 and 35882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35875 and 35882. First we will calculate the prime factors of 35875 and 35882.

Prime Factorization of 35875

Prime Factorization of 35882

Now multiplying the highest exponent prime factors to calculate the LCM of 35875 and 35882.

LCM(35875,35882) = 5³ × 7¹ × 41¹ × 2¹ × 11¹ × 233¹
LCM(35875,35882) = 183895250