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What is the Least Common Multiple of 25671 and 25690?

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 25671 and 25690 is 659487990.

LCM(25671,25690) = 659487990

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Least Common Multiple of 25671 and 25690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25671 and 25690, than apply into the LCM equation.

GCF(25671,25690) = 1
LCM(25671,25690) = ( 25671 × 25690) / 1
LCM(25671,25690) = 659487990 / 1
LCM(25671,25690) = 659487990

Least Common Multiple (LCM) of 25671 and 25690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25671 and 25690. First we will calculate the prime factors of 25671 and 25690.

Prime Factorization of 25671

Prime factors of 25671 are 3, 43, 199. Prime factorization of 25671 in exponential form is:

25671 = 31 × 431 × 1991

Prime Factorization of 25690

Prime factors of 25690 are 2, 5, 7, 367. Prime factorization of 25690 in exponential form is:

25690 = 21 × 51 × 71 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 25671 and 25690.

LCM(25671,25690) = 31 × 431 × 1991 × 21 × 51 × 71 × 3671
LCM(25671,25690) = 659487990