What is the Least Common Multiple of 25965 and 25971?

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 25971 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 25971, than apply into the LCM equation.

GCF(25965,25971) = 3
LCM(25965,25971) = ( 25965 × 25971) / 3
LCM(25965,25971) = 674337015 / 3
LCM(25965,25971) = 224779005

Least Common Multiple (LCM) of 25965 and 25971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25965 and 25971. First we will calculate the prime factors of 25965 and 25971.

Prime Factorization of 25965

Prime Factorization of 25971

Now multiplying the highest exponent prime factors to calculate the LCM of 25965 and 25971.

LCM(25965,25971) = 3² × 5¹ × 577¹ × 11¹ × 787¹
LCM(25965,25971) = 224779005