What is the Least Common Multiple of 25664 and 25678?

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 25664 and 25678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25664 and 25678, than apply into the LCM equation.

GCF(25664,25678) = 2
LCM(25664,25678) = ( 25664 × 25678) / 2
LCM(25664,25678) = 659000192 / 2
LCM(25664,25678) = 329500096

Least Common Multiple (LCM) of 25664 and 25678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25664 and 25678. First we will calculate the prime factors of 25664 and 25678.

Prime Factorization of 25664

Prime Factorization of 25678

Now multiplying the highest exponent prime factors to calculate the LCM of 25664 and 25678.

LCM(25664,25678) = 2⁶ × 401¹ × 37¹ × 347¹
LCM(25664,25678) = 329500096