What is the Least Common Multiple of 25664 and 25674?

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 25674 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 25674, than apply into the LCM equation.

GCF(25664,25674) = 2
LCM(25664,25674) = ( 25664 × 25674) / 2
LCM(25664,25674) = 658897536 / 2
LCM(25664,25674) = 329448768

Least Common Multiple (LCM) of 25664 and 25674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25664 and 25674. First we will calculate the prime factors of 25664 and 25674.

Prime Factorization of 25664

Prime Factorization of 25674

Now multiplying the highest exponent prime factors to calculate the LCM of 25664 and 25674.

LCM(25664,25674) = 2⁶ × 401¹ × 3¹ × 11¹ × 389¹
LCM(25664,25674) = 329448768