What is the Least Common Multiple of 25456 and 25460?

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 25460 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 25460, than apply into the LCM equation.

GCF(25456,25460) = 4
LCM(25456,25460) = ( 25456 × 25460) / 4
LCM(25456,25460) = 648109760 / 4
LCM(25456,25460) = 162027440

Least Common Multiple (LCM) of 25456 and 25460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25456 and 25460. First we will calculate the prime factors of 25456 and 25460.

Prime Factorization of 25456

Prime Factorization of 25460

Now multiplying the highest exponent prime factors to calculate the LCM of 25456 and 25460.

LCM(25456,25460) = 2⁴ × 37¹ × 43¹ × 5¹ × 19¹ × 67¹
LCM(25456,25460) = 162027440