What is the Least Common Multiple of 24448 and 24452?

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 24448 and 24452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24448 and 24452, than apply into the LCM equation.

GCF(24448,24452) = 4
LCM(24448,24452) = ( 24448 × 24452) / 4
LCM(24448,24452) = 597802496 / 4
LCM(24448,24452) = 149450624

Least Common Multiple (LCM) of 24448 and 24452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24448 and 24452. First we will calculate the prime factors of 24448 and 24452.

Prime Factorization of 24448

Prime Factorization of 24452

Now multiplying the highest exponent prime factors to calculate the LCM of 24448 and 24452.

LCM(24448,24452) = 2⁷ × 191¹ × 6113¹
LCM(24448,24452) = 149450624