What is the Least Common Multiple of 24803 and 24813?

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 24813 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 24813, than apply into the LCM equation.

GCF(24803,24813) = 1
LCM(24803,24813) = ( 24803 × 24813) / 1
LCM(24803,24813) = 615436839 / 1
LCM(24803,24813) = 615436839

Least Common Multiple (LCM) of 24803 and 24813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24803 and 24813. First we will calculate the prime factors of 24803 and 24813.

Prime Factorization of 24803

Prime Factorization of 24813

Now multiplying the highest exponent prime factors to calculate the LCM of 24803 and 24813.

LCM(24803,24813) = 17¹ × 1459¹ × 3³ × 919¹
LCM(24803,24813) = 615436839