What is the Least Common Multiple of 98289 and 98308?

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 98289 and 98308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98289 and 98308, than apply into the LCM equation.

GCF(98289,98308) = 1
LCM(98289,98308) = ( 98289 × 98308) / 1
LCM(98289,98308) = 9662595012 / 1
LCM(98289,98308) = 9662595012

Least Common Multiple (LCM) of 98289 and 98308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98289 and 98308. First we will calculate the prime factors of 98289 and 98308.

Prime Factorization of 98289

Prime Factorization of 98308

Now multiplying the highest exponent prime factors to calculate the LCM of 98289 and 98308.

LCM(98289,98308) = 3² × 67¹ × 163¹ × 2² × 7¹ × 3511¹
LCM(98289,98308) = 9662595012