What is the Least Common Multiple of 85405 and 85421?

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 85405 and 85421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85405 and 85421, than apply into the LCM equation.

GCF(85405,85421) = 1
LCM(85405,85421) = ( 85405 × 85421) / 1
LCM(85405,85421) = 7295380505 / 1
LCM(85405,85421) = 7295380505

Least Common Multiple (LCM) of 85405 and 85421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85405 and 85421. First we will calculate the prime factors of 85405 and 85421.

Prime Factorization of 85405

Prime Factorization of 85421

Now multiplying the highest exponent prime factors to calculate the LCM of 85405 and 85421.

LCM(85405,85421) = 5¹ × 19¹ × 29¹ × 31¹ × 7¹ × 12203¹
LCM(85405,85421) = 7295380505