What is the Least Common Multiple of 96828 and 96836?

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 96828 and 96836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96828 and 96836, than apply into the LCM equation.

GCF(96828,96836) = 4
LCM(96828,96836) = ( 96828 × 96836) / 4
LCM(96828,96836) = 9376436208 / 4
LCM(96828,96836) = 2344109052

Least Common Multiple (LCM) of 96828 and 96836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96828 and 96836. First we will calculate the prime factors of 96828 and 96836.

Prime Factorization of 96828

Prime Factorization of 96836

Now multiplying the highest exponent prime factors to calculate the LCM of 96828 and 96836.

LCM(96828,96836) = 2² × 3¹ × 8069¹ × 43¹ × 563¹
LCM(96828,96836) = 2344109052