What is the Least Common Multiple of 24434 and 24454?

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 24434 and 24454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24434 and 24454, than apply into the LCM equation.

GCF(24434,24454) = 2
LCM(24434,24454) = ( 24434 × 24454) / 2
LCM(24434,24454) = 597509036 / 2
LCM(24434,24454) = 298754518

Least Common Multiple (LCM) of 24434 and 24454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24434 and 24454. First we will calculate the prime factors of 24434 and 24454.

Prime Factorization of 24434

Prime Factorization of 24454

Now multiplying the highest exponent prime factors to calculate the LCM of 24434 and 24454.

LCM(24434,24454) = 2¹ × 19¹ × 643¹ × 12227¹
LCM(24434,24454) = 298754518