What is the Least Common Multiple of 8824 and 8832?

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 8824 and 8832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8824 and 8832, than apply into the LCM equation.

GCF(8824,8832) = 8
LCM(8824,8832) = ( 8824 × 8832) / 8
LCM(8824,8832) = 77933568 / 8
LCM(8824,8832) = 9741696

Least Common Multiple (LCM) of 8824 and 8832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8824 and 8832. First we will calculate the prime factors of 8824 and 8832.

Prime Factorization of 8824

Prime Factorization of 8832

Now multiplying the highest exponent prime factors to calculate the LCM of 8824 and 8832.

LCM(8824,8832) = 2⁷ × 1103¹ × 3¹ × 23¹
LCM(8824,8832) = 9741696