What is the Least Common Multiple of 24854 and 24865?

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 24865 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 24865, than apply into the LCM equation.

GCF(24854,24865) = 1
LCM(24854,24865) = ( 24854 × 24865) / 1
LCM(24854,24865) = 617994710 / 1
LCM(24854,24865) = 617994710

Least Common Multiple (LCM) of 24854 and 24865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24854 and 24865. First we will calculate the prime factors of 24854 and 24865.

Prime Factorization of 24854

Prime Factorization of 24865

Now multiplying the highest exponent prime factors to calculate the LCM of 24854 and 24865.

LCM(24854,24865) = 2¹ × 17² × 43¹ × 5¹ × 4973¹
LCM(24854,24865) = 617994710