What is the Least Common Multiple of 9838 and 9848?

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 9838 and 9848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9838 and 9848, than apply into the LCM equation.

GCF(9838,9848) = 2
LCM(9838,9848) = ( 9838 × 9848) / 2
LCM(9838,9848) = 96884624 / 2
LCM(9838,9848) = 48442312

Least Common Multiple (LCM) of 9838 and 9848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9838 and 9848. First we will calculate the prime factors of 9838 and 9848.

Prime Factorization of 9838

Prime Factorization of 9848

Now multiplying the highest exponent prime factors to calculate the LCM of 9838 and 9848.

LCM(9838,9848) = 2³ × 4919¹ × 1231¹
LCM(9838,9848) = 48442312