What is the Least Common Multiple of 24801 and 24819?

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 24801 and 24819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24801 and 24819, than apply into the LCM equation.

GCF(24801,24819) = 3
LCM(24801,24819) = ( 24801 × 24819) / 3
LCM(24801,24819) = 615536019 / 3
LCM(24801,24819) = 205178673

Least Common Multiple (LCM) of 24801 and 24819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24801 and 24819. First we will calculate the prime factors of 24801 and 24819.

Prime Factorization of 24801

Prime Factorization of 24819

Now multiplying the highest exponent prime factors to calculate the LCM of 24801 and 24819.

LCM(24801,24819) = 3¹ × 7¹ × 1181¹ × 8273¹
LCM(24801,24819) = 205178673