What is the Least Common Multiple of 25440 and 25445?

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 25440 and 25445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25440 and 25445, than apply into the LCM equation.

GCF(25440,25445) = 5
LCM(25440,25445) = ( 25440 × 25445) / 5
LCM(25440,25445) = 647320800 / 5
LCM(25440,25445) = 129464160

Least Common Multiple (LCM) of 25440 and 25445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25440 and 25445. First we will calculate the prime factors of 25440 and 25445.

Prime Factorization of 25440

Prime Factorization of 25445

Now multiplying the highest exponent prime factors to calculate the LCM of 25440 and 25445.

LCM(25440,25445) = 2⁵ × 3¹ × 5¹ × 53¹ × 7¹ × 727¹
LCM(25440,25445) = 129464160