What is the Least Common Multiple of 81776 and 81782?

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 81776 and 81782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81776 and 81782, than apply into the LCM equation.

GCF(81776,81782) = 2
LCM(81776,81782) = ( 81776 × 81782) / 2
LCM(81776,81782) = 6687804832 / 2
LCM(81776,81782) = 3343902416

Least Common Multiple (LCM) of 81776 and 81782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81776 and 81782. First we will calculate the prime factors of 81776 and 81782.

Prime Factorization of 81776

Prime Factorization of 81782

Now multiplying the highest exponent prime factors to calculate the LCM of 81776 and 81782.

LCM(81776,81782) = 2⁴ × 19¹ × 269¹ × 103¹ × 397¹
LCM(81776,81782) = 3343902416