What is the Least Common Multiple of 84405 and 84424?

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 84405 and 84424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84405 and 84424, than apply into the LCM equation.

GCF(84405,84424) = 1
LCM(84405,84424) = ( 84405 × 84424) / 1
LCM(84405,84424) = 7125807720 / 1
LCM(84405,84424) = 7125807720

Least Common Multiple (LCM) of 84405 and 84424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84405 and 84424. First we will calculate the prime factors of 84405 and 84424.

Prime Factorization of 84405

Prime Factorization of 84424

Now multiplying the highest exponent prime factors to calculate the LCM of 84405 and 84424.

LCM(84405,84424) = 3¹ × 5¹ × 17¹ × 331¹ × 2³ × 61¹ × 173¹
LCM(84405,84424) = 7125807720