What is the Least Common Multiple of 24803 and 24821?

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 24803 and 24821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24803 and 24821, than apply into the LCM equation.

GCF(24803,24821) = 1
LCM(24803,24821) = ( 24803 × 24821) / 1
LCM(24803,24821) = 615635263 / 1
LCM(24803,24821) = 615635263

Least Common Multiple (LCM) of 24803 and 24821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24803 and 24821. First we will calculate the prime factors of 24803 and 24821.

Prime Factorization of 24803

Prime Factorization of 24821

Now multiplying the highest exponent prime factors to calculate the LCM of 24803 and 24821.

LCM(24803,24821) = 17¹ × 1459¹ × 24821¹
LCM(24803,24821) = 615635263