What is the Least Common Multiple of 98008 and 98026?

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 98008 and 98026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98008 and 98026, than apply into the LCM equation.

GCF(98008,98026) = 2
LCM(98008,98026) = ( 98008 × 98026) / 2
LCM(98008,98026) = 9607332208 / 2
LCM(98008,98026) = 4803666104

Least Common Multiple (LCM) of 98008 and 98026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98008 and 98026. First we will calculate the prime factors of 98008 and 98026.

Prime Factorization of 98008

Prime Factorization of 98026

Now multiplying the highest exponent prime factors to calculate the LCM of 98008 and 98026.

LCM(98008,98026) = 2³ × 12251¹ × 23¹ × 2131¹
LCM(98008,98026) = 4803666104