What is the Least Common Multiple of 25645 and 25661?

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 25645 and 25661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25645 and 25661, than apply into the LCM equation.

GCF(25645,25661) = 1
LCM(25645,25661) = ( 25645 × 25661) / 1
LCM(25645,25661) = 658076345 / 1
LCM(25645,25661) = 658076345

Least Common Multiple (LCM) of 25645 and 25661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25645 and 25661. First we will calculate the prime factors of 25645 and 25661.

Prime Factorization of 25645

Prime Factorization of 25661

Now multiplying the highest exponent prime factors to calculate the LCM of 25645 and 25661.

LCM(25645,25661) = 5¹ × 23¹ × 223¹ × 67¹ × 383¹
LCM(25645,25661) = 658076345