What is the Least Common Multiple of 81756 and 81762?

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 81756 and 81762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81756 and 81762, than apply into the LCM equation.

GCF(81756,81762) = 6
LCM(81756,81762) = ( 81756 × 81762) / 6
LCM(81756,81762) = 6684534072 / 6
LCM(81756,81762) = 1114089012

Least Common Multiple (LCM) of 81756 and 81762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81756 and 81762. First we will calculate the prime factors of 81756 and 81762.

Prime Factorization of 81756

Prime Factorization of 81762

Now multiplying the highest exponent prime factors to calculate the LCM of 81756 and 81762.

LCM(81756,81762) = 2² × 3³ × 757¹ × 13627¹
LCM(81756,81762) = 1114089012