What is the Least Common Multiple of 35875 and 35891?

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 35891 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 35891, than apply into the LCM equation.

GCF(35875,35891) = 1
LCM(35875,35891) = ( 35875 × 35891) / 1
LCM(35875,35891) = 1287589625 / 1
LCM(35875,35891) = 1287589625

Least Common Multiple (LCM) of 35875 and 35891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35875 and 35891. First we will calculate the prime factors of 35875 and 35891.

Prime Factorization of 35875

Prime Factorization of 35891

Now multiplying the highest exponent prime factors to calculate the LCM of 35875 and 35891.

LCM(35875,35891) = 5³ × 7¹ × 41¹ × 19¹ × 1889¹
LCM(35875,35891) = 1287589625