What is the Least Common Multiple of 8768 and 8782?

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 8768 and 8782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8768 and 8782, than apply into the LCM equation.

GCF(8768,8782) = 2
LCM(8768,8782) = ( 8768 × 8782) / 2
LCM(8768,8782) = 77000576 / 2
LCM(8768,8782) = 38500288

Least Common Multiple (LCM) of 8768 and 8782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8768 and 8782. First we will calculate the prime factors of 8768 and 8782.

Prime Factorization of 8768

Prime Factorization of 8782

Now multiplying the highest exponent prime factors to calculate the LCM of 8768 and 8782.

LCM(8768,8782) = 2⁶ × 137¹ × 4391¹
LCM(8768,8782) = 38500288