GCF and LCM Calculator Logo

What is the Least Common Multiple of 25983 and 25999?

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 (LCM) of 25983 and 25999 is 675532017.

LCM(25983,25999) = 675532017

LCM Calculator and
and

Least Common Multiple of 25983 and 25999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25983 and 25999, than apply into the LCM equation.

GCF(25983,25999) = 1
LCM(25983,25999) = ( 25983 × 25999) / 1
LCM(25983,25999) = 675532017 / 1
LCM(25983,25999) = 675532017

Least Common Multiple (LCM) of 25983 and 25999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25983 and 25999. First we will calculate the prime factors of 25983 and 25999.

Prime Factorization of 25983

Prime factors of 25983 are 3, 2887. Prime factorization of 25983 in exponential form is:

25983 = 32 × 28871

Prime Factorization of 25999

Prime factors of 25999 are 25999. Prime factorization of 25999 in exponential form is:

25999 = 259991

Now multiplying the highest exponent prime factors to calculate the LCM of 25983 and 25999.

LCM(25983,25999) = 32 × 28871 × 259991
LCM(25983,25999) = 675532017