What is the Least Common Multiple of 25472 and 25490?

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 25472 and 25490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25472 and 25490, than apply into the LCM equation.

GCF(25472,25490) = 2
LCM(25472,25490) = ( 25472 × 25490) / 2
LCM(25472,25490) = 649281280 / 2
LCM(25472,25490) = 324640640

Least Common Multiple (LCM) of 25472 and 25490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25472 and 25490. First we will calculate the prime factors of 25472 and 25490.

Prime Factorization of 25472

Prime Factorization of 25490

Now multiplying the highest exponent prime factors to calculate the LCM of 25472 and 25490.

LCM(25472,25490) = 2⁷ × 199¹ × 5¹ × 2549¹
LCM(25472,25490) = 324640640