GCF and LCM Calculator Logo

What is the Least Common Multiple of 25971 and 25980?

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 25980 is 224908860.

LCM(25971,25980) = 224908860

LCM Calculator and
and

Least Common Multiple of 25971 and 25980 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 25980, than apply into the LCM equation.

GCF(25971,25980) = 3
LCM(25971,25980) = ( 25971 × 25980) / 3
LCM(25971,25980) = 674726580 / 3
LCM(25971,25980) = 224908860

Least Common Multiple (LCM) of 25971 and 25980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25971 and 25980. First we will calculate the prime factors of 25971 and 25980.

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 25980

Prime factors of 25980 are 2, 3, 5, 433. Prime factorization of 25980 in exponential form is:

25980 = 22 × 31 × 51 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 25971 and 25980.

LCM(25971,25980) = 31 × 111 × 7871 × 22 × 51 × 4331
LCM(25971,25980) = 224908860