What is the Least Common Multiple of 24919 and 24925?

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 24919 and 24925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24919 and 24925, than apply into the LCM equation.

GCF(24919,24925) = 1
LCM(24919,24925) = ( 24919 × 24925) / 1
LCM(24919,24925) = 621106075 / 1
LCM(24919,24925) = 621106075

Least Common Multiple (LCM) of 24919 and 24925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24919 and 24925. First we will calculate the prime factors of 24919 and 24925.

Prime Factorization of 24919

Prime Factorization of 24925

Now multiplying the highest exponent prime factors to calculate the LCM of 24919 and 24925.

LCM(24919,24925) = 24919¹ × 5² × 997¹
LCM(24919,24925) = 621106075