What is the Least Common Multiple of 25965 and 25985?

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 25965 and 25985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25965 and 25985, than apply into the LCM equation.

GCF(25965,25985) = 5
LCM(25965,25985) = ( 25965 × 25985) / 5
LCM(25965,25985) = 674700525 / 5
LCM(25965,25985) = 134940105

Least Common Multiple (LCM) of 25965 and 25985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25965 and 25985. First we will calculate the prime factors of 25965 and 25985.

Prime Factorization of 25965

Prime Factorization of 25985

Now multiplying the highest exponent prime factors to calculate the LCM of 25965 and 25985.

LCM(25965,25985) = 3² × 5¹ × 577¹ × 5197¹
LCM(25965,25985) = 134940105