What is the Least Common Multiple of 81782 and 81788?

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 81782 and 81788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81782 and 81788, than apply into the LCM equation.

GCF(81782,81788) = 2
LCM(81782,81788) = ( 81782 × 81788) / 2
LCM(81782,81788) = 6688786216 / 2
LCM(81782,81788) = 3344393108

Least Common Multiple (LCM) of 81782 and 81788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81782 and 81788. First we will calculate the prime factors of 81782 and 81788.

Prime Factorization of 81782

Prime Factorization of 81788

Now multiplying the highest exponent prime factors to calculate the LCM of 81782 and 81788.

LCM(81782,81788) = 2² × 103¹ × 397¹ × 7¹ × 23¹ × 127¹
LCM(81782,81788) = 3344393108