What is the Least Common Multiple of 96792 and 96812?

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 96792 and 96812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96792 and 96812, than apply into the LCM equation.

GCF(96792,96812) = 4
LCM(96792,96812) = ( 96792 × 96812) / 4
LCM(96792,96812) = 9370627104 / 4
LCM(96792,96812) = 2342656776

Least Common Multiple (LCM) of 96792 and 96812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96792 and 96812. First we will calculate the prime factors of 96792 and 96812.

Prime Factorization of 96792

Prime Factorization of 96812

Now multiplying the highest exponent prime factors to calculate the LCM of 96792 and 96812.

LCM(96792,96812) = 2³ × 3¹ × 37¹ × 109¹ × 24203¹
LCM(96792,96812) = 2342656776