What is the Least Common Multiple of 25912 and 25928?

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 25912 and 25928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25912 and 25928, than apply into the LCM equation.

GCF(25912,25928) = 8
LCM(25912,25928) = ( 25912 × 25928) / 8
LCM(25912,25928) = 671846336 / 8
LCM(25912,25928) = 83980792

Least Common Multiple (LCM) of 25912 and 25928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25912 and 25928. First we will calculate the prime factors of 25912 and 25928.

Prime Factorization of 25912

Prime Factorization of 25928

Now multiplying the highest exponent prime factors to calculate the LCM of 25912 and 25928.

LCM(25912,25928) = 2³ × 41¹ × 79¹ × 7¹ × 463¹
LCM(25912,25928) = 83980792