What is the Least Common Multiple of 87857 and 87877?

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 87857 and 87877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87857 and 87877, than apply into the LCM equation.

GCF(87857,87877) = 1
LCM(87857,87877) = ( 87857 × 87877) / 1
LCM(87857,87877) = 7720609589 / 1
LCM(87857,87877) = 7720609589

Least Common Multiple (LCM) of 87857 and 87877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87857 and 87877. First we will calculate the prime factors of 87857 and 87877.

Prime Factorization of 87857

Prime Factorization of 87877

Now multiplying the highest exponent prime factors to calculate the LCM of 87857 and 87877.

LCM(87857,87877) = 7² × 11¹ × 163¹ × 87877¹
LCM(87857,87877) = 7720609589