What is the Least Common Multiple of 8782 and 8802?

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 8782 and 8802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8782 and 8802, than apply into the LCM equation.

GCF(8782,8802) = 2
LCM(8782,8802) = ( 8782 × 8802) / 2
LCM(8782,8802) = 77299164 / 2
LCM(8782,8802) = 38649582

Least Common Multiple (LCM) of 8782 and 8802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8782 and 8802. First we will calculate the prime factors of 8782 and 8802.

Prime Factorization of 8782

Prime Factorization of 8802

Now multiplying the highest exponent prime factors to calculate the LCM of 8782 and 8802.

LCM(8782,8802) = 2¹ × 4391¹ × 3³ × 163¹
LCM(8782,8802) = 38649582