What is the Least Common Multiple of 98808 and 98823?

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 98823 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 98823, than apply into the LCM equation.

GCF(98808,98823) = 3
LCM(98808,98823) = ( 98808 × 98823) / 3
LCM(98808,98823) = 9764502984 / 3
LCM(98808,98823) = 3254834328

Least Common Multiple (LCM) of 98808 and 98823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98808 and 98823. First we will calculate the prime factors of 98808 and 98823.

Prime Factorization of 98808

Prime Factorization of 98823

Now multiplying the highest exponent prime factors to calculate the LCM of 98808 and 98823.

LCM(98808,98823) = 2³ × 3¹ × 23¹ × 179¹ × 32941¹
LCM(98808,98823) = 3254834328