What is the Least Common Multiple of 24450 and 24459?

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 24450 and 24459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24450 and 24459, than apply into the LCM equation.

GCF(24450,24459) = 3
LCM(24450,24459) = ( 24450 × 24459) / 3
LCM(24450,24459) = 598022550 / 3
LCM(24450,24459) = 199340850

Least Common Multiple (LCM) of 24450 and 24459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24450 and 24459. First we will calculate the prime factors of 24450 and 24459.

Prime Factorization of 24450

Prime Factorization of 24459

Now multiplying the highest exponent prime factors to calculate the LCM of 24450 and 24459.

LCM(24450,24459) = 2¹ × 3¹ × 5² × 163¹ × 31¹ × 263¹
LCM(24450,24459) = 199340850