GCF and LCM Calculator Logo

What is the Least Common Multiple of 25695 and 25706?

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 25695 and 25706 is 660515670.

LCM(25695,25706) = 660515670

LCM Calculator and
and

Least Common Multiple of 25695 and 25706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25695 and 25706, than apply into the LCM equation.

GCF(25695,25706) = 1
LCM(25695,25706) = ( 25695 × 25706) / 1
LCM(25695,25706) = 660515670 / 1
LCM(25695,25706) = 660515670

Least Common Multiple (LCM) of 25695 and 25706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25695 and 25706. First we will calculate the prime factors of 25695 and 25706.

Prime Factorization of 25695

Prime factors of 25695 are 3, 5, 571. Prime factorization of 25695 in exponential form is:

25695 = 32 × 51 × 5711

Prime Factorization of 25706

Prime factors of 25706 are 2, 12853. Prime factorization of 25706 in exponential form is:

25706 = 21 × 128531

Now multiplying the highest exponent prime factors to calculate the LCM of 25695 and 25706.

LCM(25695,25706) = 32 × 51 × 5711 × 21 × 128531
LCM(25695,25706) = 660515670