What is the Least Common Multiple of 24430 and 24448?

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 24430 and 24448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24430 and 24448, than apply into the LCM equation.

GCF(24430,24448) = 2
LCM(24430,24448) = ( 24430 × 24448) / 2
LCM(24430,24448) = 597264640 / 2
LCM(24430,24448) = 298632320

Least Common Multiple (LCM) of 24430 and 24448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24430 and 24448. First we will calculate the prime factors of 24430 and 24448.

Prime Factorization of 24430

Prime Factorization of 24448

Now multiplying the highest exponent prime factors to calculate the LCM of 24430 and 24448.

LCM(24430,24448) = 2⁷ × 5¹ × 7¹ × 349¹ × 191¹
LCM(24430,24448) = 298632320