What is the Least Common Multiple of 24925 and 24931?

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 24931 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 24931, than apply into the LCM equation.

GCF(24925,24931) = 1
LCM(24925,24931) = ( 24925 × 24931) / 1
LCM(24925,24931) = 621405175 / 1
LCM(24925,24931) = 621405175

Least Common Multiple (LCM) of 24925 and 24931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24925 and 24931. First we will calculate the prime factors of 24925 and 24931.

Prime Factorization of 24925

Prime Factorization of 24931

Now multiplying the highest exponent prime factors to calculate the LCM of 24925 and 24931.

LCM(24925,24931) = 5² × 997¹ × 107¹ × 233¹
LCM(24925,24931) = 621405175