What is the Least Common Multiple of 24923 and 24940?

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 24923 and 24940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24923 and 24940, than apply into the LCM equation.

GCF(24923,24940) = 1
LCM(24923,24940) = ( 24923 × 24940) / 1
LCM(24923,24940) = 621579620 / 1
LCM(24923,24940) = 621579620

Least Common Multiple (LCM) of 24923 and 24940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24923 and 24940. First we will calculate the prime factors of 24923 and 24940.

Prime Factorization of 24923

Prime Factorization of 24940

Now multiplying the highest exponent prime factors to calculate the LCM of 24923 and 24940.

LCM(24923,24940) = 24923¹ × 2² × 5¹ × 29¹ × 43¹
LCM(24923,24940) = 621579620