What is the Least Common Multiple of 98808 and 98819?

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 98819 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 98819, than apply into the LCM equation.

GCF(98808,98819) = 1
LCM(98808,98819) = ( 98808 × 98819) / 1
LCM(98808,98819) = 9764107752 / 1
LCM(98808,98819) = 9764107752

Least Common Multiple (LCM) of 98808 and 98819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98808 and 98819. First we will calculate the prime factors of 98808 and 98819.

Prime Factorization of 98808

Prime Factorization of 98819

Now multiplying the highest exponent prime factors to calculate the LCM of 98808 and 98819.

LCM(98808,98819) = 2³ × 3¹ × 23¹ × 179¹ × 7¹ × 19¹ × 743¹
LCM(98808,98819) = 9764107752