What is the Least Common Multiple of 25635 and 25648?

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 25635 and 25648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25635 and 25648, than apply into the LCM equation.

GCF(25635,25648) = 1
LCM(25635,25648) = ( 25635 × 25648) / 1
LCM(25635,25648) = 657486480 / 1
LCM(25635,25648) = 657486480

Least Common Multiple (LCM) of 25635 and 25648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25635 and 25648. First we will calculate the prime factors of 25635 and 25648.

Prime Factorization of 25635

Prime Factorization of 25648

Now multiplying the highest exponent prime factors to calculate the LCM of 25635 and 25648.

LCM(25635,25648) = 3¹ × 5¹ × 1709¹ × 2⁴ × 7¹ × 229¹
LCM(25635,25648) = 657486480