What is the Least Common Multiple of 43852 and 43871?

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 43852 and 43871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43852 and 43871, than apply into the LCM equation.

GCF(43852,43871) = 19
LCM(43852,43871) = ( 43852 × 43871) / 19
LCM(43852,43871) = 1923831092 / 19
LCM(43852,43871) = 101254268

Least Common Multiple (LCM) of 43852 and 43871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43852 and 43871. First we will calculate the prime factors of 43852 and 43871.

Prime Factorization of 43852

Prime Factorization of 43871

Now multiplying the highest exponent prime factors to calculate the LCM of 43852 and 43871.

LCM(43852,43871) = 2² × 19¹ × 577¹ × 2309¹
LCM(43852,43871) = 101254268