What is the Least Common Multiple of 25456 and 25471?

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 25456 and 25471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25456 and 25471, than apply into the LCM equation.

GCF(25456,25471) = 1
LCM(25456,25471) = ( 25456 × 25471) / 1
LCM(25456,25471) = 648389776 / 1
LCM(25456,25471) = 648389776

Least Common Multiple (LCM) of 25456 and 25471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25456 and 25471. First we will calculate the prime factors of 25456 and 25471.

Prime Factorization of 25456

Prime Factorization of 25471

Now multiplying the highest exponent prime factors to calculate the LCM of 25456 and 25471.

LCM(25456,25471) = 2⁴ × 37¹ × 43¹ × 25471¹
LCM(25456,25471) = 648389776