GCF and LCM Calculator Logo

What is the Least Common Multiple of 25709 and 25727?

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 25709 and 25727 is 661415443.

LCM(25709,25727) = 661415443

LCM Calculator and
and

Least Common Multiple of 25709 and 25727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25709 and 25727, than apply into the LCM equation.

GCF(25709,25727) = 1
LCM(25709,25727) = ( 25709 × 25727) / 1
LCM(25709,25727) = 661415443 / 1
LCM(25709,25727) = 661415443

Least Common Multiple (LCM) of 25709 and 25727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25709 and 25727. First we will calculate the prime factors of 25709 and 25727.

Prime Factorization of 25709

Prime factors of 25709 are 47, 547. Prime factorization of 25709 in exponential form is:

25709 = 471 × 5471

Prime Factorization of 25727

Prime factors of 25727 are 13, 1979. Prime factorization of 25727 in exponential form is:

25727 = 131 × 19791

Now multiplying the highest exponent prime factors to calculate the LCM of 25709 and 25727.

LCM(25709,25727) = 471 × 5471 × 131 × 19791
LCM(25709,25727) = 661415443