What is the Least Common Multiple of 8832 and 8852?

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 8832 and 8852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8832 and 8852, than apply into the LCM equation.

GCF(8832,8852) = 4
LCM(8832,8852) = ( 8832 × 8852) / 4
LCM(8832,8852) = 78180864 / 4
LCM(8832,8852) = 19545216

Least Common Multiple (LCM) of 8832 and 8852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8832 and 8852. First we will calculate the prime factors of 8832 and 8852.

Prime Factorization of 8832

Prime Factorization of 8852

Now multiplying the highest exponent prime factors to calculate the LCM of 8832 and 8852.

LCM(8832,8852) = 2⁷ × 3¹ × 23¹ × 2213¹
LCM(8832,8852) = 19545216