What is the Least Common Multiple of 25984 and 25991?

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 25984 and 25991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25984 and 25991, than apply into the LCM equation.

GCF(25984,25991) = 7
LCM(25984,25991) = ( 25984 × 25991) / 7
LCM(25984,25991) = 675350144 / 7
LCM(25984,25991) = 96478592

Least Common Multiple (LCM) of 25984 and 25991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25984 and 25991. First we will calculate the prime factors of 25984 and 25991.

Prime Factorization of 25984

Prime Factorization of 25991

Now multiplying the highest exponent prime factors to calculate the LCM of 25984 and 25991.

LCM(25984,25991) = 2⁷ × 7¹ × 29¹ × 47¹ × 79¹
LCM(25984,25991) = 96478592