What is the Least Common Multiple of 24439 and 24450?

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 24439 and 24450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24439 and 24450, than apply into the LCM equation.

GCF(24439,24450) = 1
LCM(24439,24450) = ( 24439 × 24450) / 1
LCM(24439,24450) = 597533550 / 1
LCM(24439,24450) = 597533550

Least Common Multiple (LCM) of 24439 and 24450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24439 and 24450. First we will calculate the prime factors of 24439 and 24450.

Prime Factorization of 24439

Prime Factorization of 24450

Now multiplying the highest exponent prime factors to calculate the LCM of 24439 and 24450.

LCM(24439,24450) = 24439¹ × 2¹ × 3¹ × 5² × 163¹
LCM(24439,24450) = 597533550