What is the Least Common Multiple of 97838 and 97856?

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 97838 and 97856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97838 and 97856, than apply into the LCM equation.

GCF(97838,97856) = 2
LCM(97838,97856) = ( 97838 × 97856) / 2
LCM(97838,97856) = 9574035328 / 2
LCM(97838,97856) = 4787017664

Least Common Multiple (LCM) of 97838 and 97856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97838 and 97856. First we will calculate the prime factors of 97838 and 97856.

Prime Factorization of 97838

Prime Factorization of 97856

Now multiplying the highest exponent prime factors to calculate the LCM of 97838 and 97856.

LCM(97838,97856) = 2⁶ × 13¹ × 53¹ × 71¹ × 11¹ × 139¹
LCM(97838,97856) = 4787017664