What is the Least Common Multiple of 25544 and 25562?

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 25544 and 25562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25544 and 25562, than apply into the LCM equation.

GCF(25544,25562) = 2
LCM(25544,25562) = ( 25544 × 25562) / 2
LCM(25544,25562) = 652955728 / 2
LCM(25544,25562) = 326477864

Least Common Multiple (LCM) of 25544 and 25562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25544 and 25562. First we will calculate the prime factors of 25544 and 25562.

Prime Factorization of 25544

Prime Factorization of 25562

Now multiplying the highest exponent prime factors to calculate the LCM of 25544 and 25562.

LCM(25544,25562) = 2³ × 31¹ × 103¹ × 12781¹
LCM(25544,25562) = 326477864