What is the Least Common Multiple of 99405 and 99424?

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 99405 and 99424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99405 and 99424, than apply into the LCM equation.

GCF(99405,99424) = 1
LCM(99405,99424) = ( 99405 × 99424) / 1
LCM(99405,99424) = 9883242720 / 1
LCM(99405,99424) = 9883242720

Least Common Multiple (LCM) of 99405 and 99424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99405 and 99424. First we will calculate the prime factors of 99405 and 99424.

Prime Factorization of 99405

Prime Factorization of 99424

Now multiplying the highest exponent prime factors to calculate the LCM of 99405 and 99424.

LCM(99405,99424) = 3² × 5¹ × 47² × 2⁵ × 13¹ × 239¹
LCM(99405,99424) = 9883242720