What is the Least Common Multiple of 25916 and 25935?

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 25916 and 25935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25916 and 25935, than apply into the LCM equation.

GCF(25916,25935) = 19
LCM(25916,25935) = ( 25916 × 25935) / 19
LCM(25916,25935) = 672131460 / 19
LCM(25916,25935) = 35375340

Least Common Multiple (LCM) of 25916 and 25935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25916 and 25935. First we will calculate the prime factors of 25916 and 25935.

Prime Factorization of 25916

Prime Factorization of 25935

Now multiplying the highest exponent prime factors to calculate the LCM of 25916 and 25935.

LCM(25916,25935) = 2² × 11¹ × 19¹ × 31¹ × 3¹ × 5¹ × 7¹ × 13¹
LCM(25916,25935) = 35375340