What is the Least Common Multiple of 87856 and 87873?

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 87856 and 87873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87856 and 87873, than apply into the LCM equation.

GCF(87856,87873) = 17
LCM(87856,87873) = ( 87856 × 87873) / 17
LCM(87856,87873) = 7720170288 / 17
LCM(87856,87873) = 454127664

Least Common Multiple (LCM) of 87856 and 87873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87856 and 87873. First we will calculate the prime factors of 87856 and 87873.

Prime Factorization of 87856

Prime Factorization of 87873

Now multiplying the highest exponent prime factors to calculate the LCM of 87856 and 87873.

LCM(87856,87873) = 2⁴ × 17² × 19¹ × 3¹ × 1723¹
LCM(87856,87873) = 454127664