What is the Least Common Multiple of 96810 and 96828?

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 96810 and 96828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96810 and 96828, than apply into the LCM equation.

GCF(96810,96828) = 6
LCM(96810,96828) = ( 96810 × 96828) / 6
LCM(96810,96828) = 9373918680 / 6
LCM(96810,96828) = 1562319780

Least Common Multiple (LCM) of 96810 and 96828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96810 and 96828. First we will calculate the prime factors of 96810 and 96828.

Prime Factorization of 96810

Prime Factorization of 96828

Now multiplying the highest exponent prime factors to calculate the LCM of 96810 and 96828.

LCM(96810,96828) = 2² × 3¹ × 5¹ × 7¹ × 461¹ × 8069¹
LCM(96810,96828) = 1562319780