What is the Least Common Multiple of 86871 and 86877?

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 86871 and 86877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86871 and 86877, than apply into the LCM equation.

GCF(86871,86877) = 3
LCM(86871,86877) = ( 86871 × 86877) / 3
LCM(86871,86877) = 7547091867 / 3
LCM(86871,86877) = 2515697289

Least Common Multiple (LCM) of 86871 and 86877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86871 and 86877. First we will calculate the prime factors of 86871 and 86877.

Prime Factorization of 86871

Prime Factorization of 86877

Now multiplying the highest exponent prime factors to calculate the LCM of 86871 and 86877.

LCM(86871,86877) = 3² × 23¹ × 1259¹ × 7² × 197¹
LCM(86871,86877) = 2515697289