What is the Least Common Multiple of 25648 and 25658?

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 25648 and 25658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25648 and 25658, than apply into the LCM equation.

GCF(25648,25658) = 2
LCM(25648,25658) = ( 25648 × 25658) / 2
LCM(25648,25658) = 658076384 / 2
LCM(25648,25658) = 329038192

Least Common Multiple (LCM) of 25648 and 25658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25648 and 25658. First we will calculate the prime factors of 25648 and 25658.

Prime Factorization of 25648

Prime Factorization of 25658

Now multiplying the highest exponent prime factors to calculate the LCM of 25648 and 25658.

LCM(25648,25658) = 2⁴ × 7¹ × 229¹ × 12829¹
LCM(25648,25658) = 329038192