What is the Least Common Multiple of 24769 and 24782?

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 24769 and 24782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24769 and 24782, than apply into the LCM equation.

GCF(24769,24782) = 1
LCM(24769,24782) = ( 24769 × 24782) / 1
LCM(24769,24782) = 613825358 / 1
LCM(24769,24782) = 613825358

Least Common Multiple (LCM) of 24769 and 24782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24769 and 24782. First we will calculate the prime factors of 24769 and 24782.

Prime Factorization of 24769

Prime Factorization of 24782

Now multiplying the highest exponent prime factors to calculate the LCM of 24769 and 24782.

LCM(24769,24782) = 17¹ × 31¹ × 47¹ × 2¹ × 12391¹
LCM(24769,24782) = 613825358