What is the Least Common Multiple of 25965 and 25974?

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 25974 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 25974, than apply into the LCM equation.

GCF(25965,25974) = 9
LCM(25965,25974) = ( 25965 × 25974) / 9
LCM(25965,25974) = 674414910 / 9
LCM(25965,25974) = 74934990

Least Common Multiple (LCM) of 25965 and 25974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25965 and 25974. First we will calculate the prime factors of 25965 and 25974.

Prime Factorization of 25965

Prime Factorization of 25974

Now multiplying the highest exponent prime factors to calculate the LCM of 25965 and 25974.

LCM(25965,25974) = 3³ × 5¹ × 577¹ × 2¹ × 13¹ × 37¹
LCM(25965,25974) = 74934990