GCF and LCM Calculator Logo

What is the Least Common Multiple of 25971 and 25981?

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 25971 and 25981 is 674752551.

LCM(25971,25981) = 674752551

LCM Calculator and
and

Least Common Multiple of 25971 and 25981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25971 and 25981, than apply into the LCM equation.

GCF(25971,25981) = 1
LCM(25971,25981) = ( 25971 × 25981) / 1
LCM(25971,25981) = 674752551 / 1
LCM(25971,25981) = 674752551

Least Common Multiple (LCM) of 25971 and 25981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25971 and 25981. First we will calculate the prime factors of 25971 and 25981.

Prime Factorization of 25971

Prime factors of 25971 are 3, 11, 787. Prime factorization of 25971 in exponential form is:

25971 = 31 × 111 × 7871

Prime Factorization of 25981

Prime factors of 25981 are 25981. Prime factorization of 25981 in exponential form is:

25981 = 259811

Now multiplying the highest exponent prime factors to calculate the LCM of 25971 and 25981.

LCM(25971,25981) = 31 × 111 × 7871 × 259811
LCM(25971,25981) = 674752551