What is the Least Common Multiple of 88832 and 88852?

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 88832 and 88852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88832 and 88852, than apply into the LCM equation.

GCF(88832,88852) = 4
LCM(88832,88852) = ( 88832 × 88852) / 4
LCM(88832,88852) = 7892900864 / 4
LCM(88832,88852) = 1973225216

Least Common Multiple (LCM) of 88832 and 88852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88832 and 88852. First we will calculate the prime factors of 88832 and 88852.

Prime Factorization of 88832

Prime Factorization of 88852

Now multiplying the highest exponent prime factors to calculate the LCM of 88832 and 88852.

LCM(88832,88852) = 2⁸ × 347¹ × 97¹ × 229¹
LCM(88832,88852) = 1973225216