What is the Least Common Multiple of 24925 and 24943?

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 24925 and 24943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24925 and 24943, than apply into the LCM equation.

GCF(24925,24943) = 1
LCM(24925,24943) = ( 24925 × 24943) / 1
LCM(24925,24943) = 621704275 / 1
LCM(24925,24943) = 621704275

Least Common Multiple (LCM) of 24925 and 24943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24925 and 24943. First we will calculate the prime factors of 24925 and 24943.

Prime Factorization of 24925

Prime Factorization of 24943

Now multiplying the highest exponent prime factors to calculate the LCM of 24925 and 24943.

LCM(24925,24943) = 5² × 997¹ × 24943¹
LCM(24925,24943) = 621704275