What is the Least Common Multiple of 25678 and 25696?

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 25678 and 25696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25678 and 25696, than apply into the LCM equation.

GCF(25678,25696) = 2
LCM(25678,25696) = ( 25678 × 25696) / 2
LCM(25678,25696) = 659821888 / 2
LCM(25678,25696) = 329910944

Least Common Multiple (LCM) of 25678 and 25696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25678 and 25696. First we will calculate the prime factors of 25678 and 25696.

Prime Factorization of 25678

Prime Factorization of 25696

Now multiplying the highest exponent prime factors to calculate the LCM of 25678 and 25696.

LCM(25678,25696) = 2⁵ × 37¹ × 347¹ × 11¹ × 73¹
LCM(25678,25696) = 329910944