What is the Least Common Multiple of 25408 and 25415?

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 25408 and 25415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25408 and 25415, than apply into the LCM equation.

GCF(25408,25415) = 1
LCM(25408,25415) = ( 25408 × 25415) / 1
LCM(25408,25415) = 645744320 / 1
LCM(25408,25415) = 645744320

Least Common Multiple (LCM) of 25408 and 25415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25408 and 25415. First we will calculate the prime factors of 25408 and 25415.

Prime Factorization of 25408

Prime Factorization of 25415

Now multiplying the highest exponent prime factors to calculate the LCM of 25408 and 25415.

LCM(25408,25415) = 2⁶ × 397¹ × 5¹ × 13¹ × 17¹ × 23¹
LCM(25408,25415) = 645744320