What is the Least Common Multiple of 24777 and 24797?

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 24777 and 24797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24777 and 24797, than apply into the LCM equation.

GCF(24777,24797) = 1
LCM(24777,24797) = ( 24777 × 24797) / 1
LCM(24777,24797) = 614395269 / 1
LCM(24777,24797) = 614395269

Least Common Multiple (LCM) of 24777 and 24797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24777 and 24797. First we will calculate the prime factors of 24777 and 24797.

Prime Factorization of 24777

Prime Factorization of 24797

Now multiplying the highest exponent prime factors to calculate the LCM of 24777 and 24797.

LCM(24777,24797) = 3² × 2753¹ × 137¹ × 181¹
LCM(24777,24797) = 614395269