What is the Least Common Multiple of 25651 and 25669?

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 25651 and 25669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25651 and 25669, than apply into the LCM equation.

GCF(25651,25669) = 1
LCM(25651,25669) = ( 25651 × 25669) / 1
LCM(25651,25669) = 658435519 / 1
LCM(25651,25669) = 658435519

Least Common Multiple (LCM) of 25651 and 25669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25651 and 25669. First we will calculate the prime factors of 25651 and 25669.

Prime Factorization of 25651

Prime Factorization of 25669

Now multiplying the highest exponent prime factors to calculate the LCM of 25651 and 25669.

LCM(25651,25669) = 113¹ × 227¹ × 7¹ × 19¹ × 193¹
LCM(25651,25669) = 658435519