What is the Least Common Multiple of 82788 and 82793?

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 82788 and 82793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82788 and 82793, than apply into the LCM equation.

GCF(82788,82793) = 1
LCM(82788,82793) = ( 82788 × 82793) / 1
LCM(82788,82793) = 6854266884 / 1
LCM(82788,82793) = 6854266884

Least Common Multiple (LCM) of 82788 and 82793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82788 and 82793. First we will calculate the prime factors of 82788 and 82793.

Prime Factorization of 82788

Prime Factorization of 82793

Now multiplying the highest exponent prime factors to calculate the LCM of 82788 and 82793.

LCM(82788,82793) = 2² × 3¹ × 6899¹ × 82793¹
LCM(82788,82793) = 6854266884