What is the Least Common Multiple of 25772 and 25784?

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 25772 and 25784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25772 and 25784, than apply into the LCM equation.

GCF(25772,25784) = 4
LCM(25772,25784) = ( 25772 × 25784) / 4
LCM(25772,25784) = 664505248 / 4
LCM(25772,25784) = 166126312

Least Common Multiple (LCM) of 25772 and 25784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25772 and 25784. First we will calculate the prime factors of 25772 and 25784.

Prime Factorization of 25772

Prime Factorization of 25784

Now multiplying the highest exponent prime factors to calculate the LCM of 25772 and 25784.

LCM(25772,25784) = 2³ × 17¹ × 379¹ × 11¹ × 293¹
LCM(25772,25784) = 166126312