What is the Least Common Multiple of 98904 and 98923?

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 98923 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 98923, than apply into the LCM equation.

GCF(98904,98923) = 1
LCM(98904,98923) = ( 98904 × 98923) / 1
LCM(98904,98923) = 9783880392 / 1
LCM(98904,98923) = 9783880392

Least Common Multiple (LCM) of 98904 and 98923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98904 and 98923. First we will calculate the prime factors of 98904 and 98923.

Prime Factorization of 98904

Prime Factorization of 98923

Now multiplying the highest exponent prime factors to calculate the LCM of 98904 and 98923.

LCM(98904,98923) = 2³ × 3¹ × 13¹ × 317¹ × 11¹ × 17¹ × 23²
LCM(98904,98923) = 9783880392