What is the Least Common Multiple of 98829 and 98848?

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 98829 and 98848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98829 and 98848, than apply into the LCM equation.

GCF(98829,98848) = 1
LCM(98829,98848) = ( 98829 × 98848) / 1
LCM(98829,98848) = 9769048992 / 1
LCM(98829,98848) = 9769048992

Least Common Multiple (LCM) of 98829 and 98848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98829 and 98848. First we will calculate the prime factors of 98829 and 98848.

Prime Factorization of 98829

Prime Factorization of 98848

Now multiplying the highest exponent prime factors to calculate the LCM of 98829 and 98848.

LCM(98829,98848) = 3² × 79¹ × 139¹ × 2⁵ × 3089¹
LCM(98829,98848) = 9769048992