What is the Least Common Multiple of 25935 and 25949?

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 25935 and 25949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25935 and 25949, than apply into the LCM equation.

GCF(25935,25949) = 7
LCM(25935,25949) = ( 25935 × 25949) / 7
LCM(25935,25949) = 672987315 / 7
LCM(25935,25949) = 96141045

Least Common Multiple (LCM) of 25935 and 25949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25935 and 25949. First we will calculate the prime factors of 25935 and 25949.

Prime Factorization of 25935

Prime Factorization of 25949

Now multiplying the highest exponent prime factors to calculate the LCM of 25935 and 25949.

LCM(25935,25949) = 3¹ × 5¹ × 7¹ × 13¹ × 19¹ × 11¹ × 337¹
LCM(25935,25949) = 96141045