What is the Least Common Multiple of 98808 and 98824?

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 98808 and 98824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98808 and 98824, than apply into the LCM equation.

GCF(98808,98824) = 8
LCM(98808,98824) = ( 98808 × 98824) / 8
LCM(98808,98824) = 9764601792 / 8
LCM(98808,98824) = 1220575224

Least Common Multiple (LCM) of 98808 and 98824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98808 and 98824. First we will calculate the prime factors of 98808 and 98824.

Prime Factorization of 98808

Prime Factorization of 98824

Now multiplying the highest exponent prime factors to calculate the LCM of 98808 and 98824.

LCM(98808,98824) = 2³ × 3¹ × 23¹ × 179¹ × 11¹ × 1123¹
LCM(98808,98824) = 1220575224