What is the Least Common Multiple of 25950 and 25965?

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 25950 and 25965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25950 and 25965, than apply into the LCM equation.

GCF(25950,25965) = 15
LCM(25950,25965) = ( 25950 × 25965) / 15
LCM(25950,25965) = 673791750 / 15
LCM(25950,25965) = 44919450

Least Common Multiple (LCM) of 25950 and 25965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25950 and 25965. First we will calculate the prime factors of 25950 and 25965.

Prime Factorization of 25950

Prime Factorization of 25965

Now multiplying the highest exponent prime factors to calculate the LCM of 25950 and 25965.

LCM(25950,25965) = 2¹ × 3² × 5² × 173¹ × 577¹
LCM(25950,25965) = 44919450