What is the Least Common Multiple of 24854 and 24869?

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 24854 and 24869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24854 and 24869, than apply into the LCM equation.

GCF(24854,24869) = 1
LCM(24854,24869) = ( 24854 × 24869) / 1
LCM(24854,24869) = 618094126 / 1
LCM(24854,24869) = 618094126

Least Common Multiple (LCM) of 24854 and 24869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24854 and 24869. First we will calculate the prime factors of 24854 and 24869.

Prime Factorization of 24854

Prime Factorization of 24869

Now multiplying the highest exponent prime factors to calculate the LCM of 24854 and 24869.

LCM(24854,24869) = 2¹ × 17² × 43¹ × 13¹ × 1913¹
LCM(24854,24869) = 618094126