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 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 Factorization of 25706

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