What is the Least Common Multiple of 96838 and 96856?

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 96838 and 96856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96838 and 96856, than apply into the LCM equation.

GCF(96838,96856) = 2
LCM(96838,96856) = ( 96838 × 96856) / 2
LCM(96838,96856) = 9379341328 / 2
LCM(96838,96856) = 4689670664

Least Common Multiple (LCM) of 96838 and 96856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96838 and 96856. First we will calculate the prime factors of 96838 and 96856.

Prime Factorization of 96838

Prime Factorization of 96856

Now multiplying the highest exponent prime factors to calculate the LCM of 96838 and 96856.

LCM(96838,96856) = 2³ × 7¹ × 6917¹ × 12107¹
LCM(96838,96856) = 4689670664