What is the Least Common Multiple of 87875 and 87894?

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 87875 and 87894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87875 and 87894, than apply into the LCM equation.

GCF(87875,87894) = 19
LCM(87875,87894) = ( 87875 × 87894) / 19
LCM(87875,87894) = 7723685250 / 19
LCM(87875,87894) = 406509750

Least Common Multiple (LCM) of 87875 and 87894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87875 and 87894. First we will calculate the prime factors of 87875 and 87894.

Prime Factorization of 87875

Prime Factorization of 87894

Now multiplying the highest exponent prime factors to calculate the LCM of 87875 and 87894.

LCM(87875,87894) = 5³ × 19¹ × 37¹ × 2¹ × 3² × 257¹
LCM(87875,87894) = 406509750