What is the Least Common Multiple of 25434 and 25449?

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 25434 and 25449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25434 and 25449, than apply into the LCM equation.

GCF(25434,25449) = 3
LCM(25434,25449) = ( 25434 × 25449) / 3
LCM(25434,25449) = 647269866 / 3
LCM(25434,25449) = 215756622

Least Common Multiple (LCM) of 25434 and 25449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25434 and 25449. First we will calculate the prime factors of 25434 and 25449.

Prime Factorization of 25434

Prime Factorization of 25449

Now multiplying the highest exponent prime factors to calculate the LCM of 25434 and 25449.

LCM(25434,25449) = 2¹ × 3⁴ × 157¹ × 17¹ × 499¹
LCM(25434,25449) = 215756622