What is the Least Common Multiple of 25623 and 25643?

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 25623 and 25643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25623 and 25643, than apply into the LCM equation.

GCF(25623,25643) = 1
LCM(25623,25643) = ( 25623 × 25643) / 1
LCM(25623,25643) = 657050589 / 1
LCM(25623,25643) = 657050589

Least Common Multiple (LCM) of 25623 and 25643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25623 and 25643. First we will calculate the prime factors of 25623 and 25643.

Prime Factorization of 25623

Prime Factorization of 25643

Now multiplying the highest exponent prime factors to calculate the LCM of 25623 and 25643.

LCM(25623,25643) = 3³ × 13¹ × 73¹ × 25643¹
LCM(25623,25643) = 657050589