What is the Least Common Multiple of 24496 and 24505?

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 24496 and 24505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24496 and 24505, than apply into the LCM equation.

GCF(24496,24505) = 1
LCM(24496,24505) = ( 24496 × 24505) / 1
LCM(24496,24505) = 600274480 / 1
LCM(24496,24505) = 600274480

Least Common Multiple (LCM) of 24496 and 24505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24496 and 24505. First we will calculate the prime factors of 24496 and 24505.

Prime Factorization of 24496

Prime Factorization of 24505

Now multiplying the highest exponent prime factors to calculate the LCM of 24496 and 24505.

LCM(24496,24505) = 2⁴ × 1531¹ × 5¹ × 13² × 29¹
LCM(24496,24505) = 600274480