GCF and LCM Calculator Logo

What is the Least Common Multiple of 25705 and 25709?

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 25705 and 25709 is 660849845.

LCM(25705,25709) = 660849845

LCM Calculator and
and

Least Common Multiple of 25705 and 25709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25705 and 25709, than apply into the LCM equation.

GCF(25705,25709) = 1
LCM(25705,25709) = ( 25705 × 25709) / 1
LCM(25705,25709) = 660849845 / 1
LCM(25705,25709) = 660849845

Least Common Multiple (LCM) of 25705 and 25709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25705 and 25709. First we will calculate the prime factors of 25705 and 25709.

Prime Factorization of 25705

Prime factors of 25705 are 5, 53, 97. Prime factorization of 25705 in exponential form is:

25705 = 51 × 531 × 971

Prime Factorization of 25709

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

25709 = 471 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 25705 and 25709.

LCM(25705,25709) = 51 × 531 × 971 × 471 × 5471
LCM(25705,25709) = 660849845