What is the Least Common Multiple of 98904 and 98910?

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 98904 and 98910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98904 and 98910, than apply into the LCM equation.

GCF(98904,98910) = 6
LCM(98904,98910) = ( 98904 × 98910) / 6
LCM(98904,98910) = 9782594640 / 6
LCM(98904,98910) = 1630432440

Least Common Multiple (LCM) of 98904 and 98910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98904 and 98910. First we will calculate the prime factors of 98904 and 98910.

Prime Factorization of 98904

Prime Factorization of 98910

Now multiplying the highest exponent prime factors to calculate the LCM of 98904 and 98910.

LCM(98904,98910) = 2³ × 3² × 13¹ × 317¹ × 5¹ × 7¹ × 157¹
LCM(98904,98910) = 1630432440