What is the Least Common Multiple of 98405 and 98424?

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 98405 and 98424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98405 and 98424, than apply into the LCM equation.

GCF(98405,98424) = 1
LCM(98405,98424) = ( 98405 × 98424) / 1
LCM(98405,98424) = 9685413720 / 1
LCM(98405,98424) = 9685413720

Least Common Multiple (LCM) of 98405 and 98424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98405 and 98424. First we will calculate the prime factors of 98405 and 98424.

Prime Factorization of 98405

Prime Factorization of 98424

Now multiplying the highest exponent prime factors to calculate the LCM of 98405 and 98424.

LCM(98405,98424) = 5¹ × 19681¹ × 2³ × 3² × 1367¹
LCM(98405,98424) = 9685413720