What is the Least Common Multiple of 81847 and 81852?

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 81847 and 81852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81847 and 81852, than apply into the LCM equation.

GCF(81847,81852) = 1
LCM(81847,81852) = ( 81847 × 81852) / 1
LCM(81847,81852) = 6699340644 / 1
LCM(81847,81852) = 6699340644

Least Common Multiple (LCM) of 81847 and 81852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81847 and 81852. First we will calculate the prime factors of 81847 and 81852.

Prime Factorization of 81847

Prime Factorization of 81852

Now multiplying the highest exponent prime factors to calculate the LCM of 81847 and 81852.

LCM(81847,81852) = 81847¹ × 2² × 3¹ × 19¹ × 359¹
LCM(81847,81852) = 6699340644