What is the Least Common Multiple of 81852 and 81871?

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 81852 and 81871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81852 and 81871, than apply into the LCM equation.

GCF(81852,81871) = 19
LCM(81852,81871) = ( 81852 × 81871) / 19
LCM(81852,81871) = 6701305092 / 19
LCM(81852,81871) = 352700268

Least Common Multiple (LCM) of 81852 and 81871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81852 and 81871. First we will calculate the prime factors of 81852 and 81871.

Prime Factorization of 81852

Prime Factorization of 81871

Now multiplying the highest exponent prime factors to calculate the LCM of 81852 and 81871.

LCM(81852,81871) = 2² × 3¹ × 19¹ × 359¹ × 31¹ × 139¹
LCM(81852,81871) = 352700268