What is the Least Common Multiple of 25968 and 25982?

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 25968 and 25982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25968 and 25982, than apply into the LCM equation.

GCF(25968,25982) = 2
LCM(25968,25982) = ( 25968 × 25982) / 2
LCM(25968,25982) = 674700576 / 2
LCM(25968,25982) = 337350288

Least Common Multiple (LCM) of 25968 and 25982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25968 and 25982. First we will calculate the prime factors of 25968 and 25982.

Prime Factorization of 25968

Prime Factorization of 25982

Now multiplying the highest exponent prime factors to calculate the LCM of 25968 and 25982.

LCM(25968,25982) = 2⁴ × 3¹ × 541¹ × 11¹ × 1181¹
LCM(25968,25982) = 337350288