What is the Least Common Multiple of 25900 and 25904?

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 25900 and 25904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25900 and 25904, than apply into the LCM equation.

GCF(25900,25904) = 4
LCM(25900,25904) = ( 25900 × 25904) / 4
LCM(25900,25904) = 670913600 / 4
LCM(25900,25904) = 167728400

Least Common Multiple (LCM) of 25900 and 25904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25900 and 25904. First we will calculate the prime factors of 25900 and 25904.

Prime Factorization of 25900

Prime Factorization of 25904

Now multiplying the highest exponent prime factors to calculate the LCM of 25900 and 25904.

LCM(25900,25904) = 2⁴ × 5² × 7¹ × 37¹ × 1619¹
LCM(25900,25904) = 167728400