What is the Least Common Multiple of 3865 and 3871?

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 3865 and 3871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3865 and 3871, than apply into the LCM equation.

GCF(3865,3871) = 1
LCM(3865,3871) = ( 3865 × 3871) / 1
LCM(3865,3871) = 14961415 / 1
LCM(3865,3871) = 14961415

Least Common Multiple (LCM) of 3865 and 3871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3865 and 3871. First we will calculate the prime factors of 3865 and 3871.

Prime Factorization of 3865

Prime Factorization of 3871

Now multiplying the highest exponent prime factors to calculate the LCM of 3865 and 3871.

LCM(3865,3871) = 5¹ × 773¹ × 7² × 79¹
LCM(3865,3871) = 14961415