What is the Least Common Multiple of 25985 and 25993?

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 25985 and 25993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25985 and 25993, than apply into the LCM equation.

GCF(25985,25993) = 1
LCM(25985,25993) = ( 25985 × 25993) / 1
LCM(25985,25993) = 675428105 / 1
LCM(25985,25993) = 675428105

Least Common Multiple (LCM) of 25985 and 25993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25985 and 25993. First we will calculate the prime factors of 25985 and 25993.

Prime Factorization of 25985

Prime Factorization of 25993

Now multiplying the highest exponent prime factors to calculate the LCM of 25985 and 25993.

LCM(25985,25993) = 5¹ × 5197¹ × 11¹ × 17¹ × 139¹
LCM(25985,25993) = 675428105