What is the Least Common Multiple of 25691 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 of 25691 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 25691 and 25709, than apply into the LCM equation.

GCF(25691,25709) = 1
LCM(25691,25709) = ( 25691 × 25709) / 1
LCM(25691,25709) = 660489919 / 1
LCM(25691,25709) = 660489919

Least Common Multiple (LCM) of 25691 and 25709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25691 and 25709. First we will calculate the prime factors of 25691 and 25709.

Prime Factorization of 25691

Prime Factorization of 25709

Now multiplying the highest exponent prime factors to calculate the LCM of 25691 and 25709.

LCM(25691,25709) = 23¹ × 1117¹ × 47¹ × 547¹
LCM(25691,25709) = 660489919