What is the Least Common Multiple of 25264 and 25280?

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 25264 and 25280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25264 and 25280, than apply into the LCM equation.

GCF(25264,25280) = 16
LCM(25264,25280) = ( 25264 × 25280) / 16
LCM(25264,25280) = 638673920 / 16
LCM(25264,25280) = 39917120

Least Common Multiple (LCM) of 25264 and 25280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25264 and 25280. First we will calculate the prime factors of 25264 and 25280.

Prime Factorization of 25264

Prime Factorization of 25280

Now multiplying the highest exponent prime factors to calculate the LCM of 25264 and 25280.

LCM(25264,25280) = 2⁶ × 1579¹ × 5¹ × 79¹
LCM(25264,25280) = 39917120