What is the Least Common Multiple of 24468 and 24483?

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 24468 and 24483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24468 and 24483, than apply into the LCM equation.

GCF(24468,24483) = 3
LCM(24468,24483) = ( 24468 × 24483) / 3
LCM(24468,24483) = 599050044 / 3
LCM(24468,24483) = 199683348

Least Common Multiple (LCM) of 24468 and 24483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24468 and 24483. First we will calculate the prime factors of 24468 and 24483.

Prime Factorization of 24468

Prime Factorization of 24483

Now multiplying the highest exponent prime factors to calculate the LCM of 24468 and 24483.

LCM(24468,24483) = 2² × 3¹ × 2039¹ × 8161¹
LCM(24468,24483) = 199683348