What is the Least Common Multiple of 8784 and 8794?

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 8784 and 8794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8784 and 8794, than apply into the LCM equation.

GCF(8784,8794) = 2
LCM(8784,8794) = ( 8784 × 8794) / 2
LCM(8784,8794) = 77246496 / 2
LCM(8784,8794) = 38623248

Least Common Multiple (LCM) of 8784 and 8794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8784 and 8794. First we will calculate the prime factors of 8784 and 8794.

Prime Factorization of 8784

Prime Factorization of 8794

Now multiplying the highest exponent prime factors to calculate the LCM of 8784 and 8794.

LCM(8784,8794) = 2⁴ × 3² × 61¹ × 4397¹
LCM(8784,8794) = 38623248