What is the Least Common Multiple of 24289 and 24295?

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 24289 and 24295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24289 and 24295, than apply into the LCM equation.

GCF(24289,24295) = 1
LCM(24289,24295) = ( 24289 × 24295) / 1
LCM(24289,24295) = 590101255 / 1
LCM(24289,24295) = 590101255

Least Common Multiple (LCM) of 24289 and 24295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24289 and 24295. First we will calculate the prime factors of 24289 and 24295.

Prime Factorization of 24289

Prime Factorization of 24295

Now multiplying the highest exponent prime factors to calculate the LCM of 24289 and 24295.

LCM(24289,24295) = 107¹ × 227¹ × 5¹ × 43¹ × 113¹
LCM(24289,24295) = 590101255