What is the Least Common Multiple of 12656 and 12674?

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 12656 and 12674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12656 and 12674, than apply into the LCM equation.

GCF(12656,12674) = 2
LCM(12656,12674) = ( 12656 × 12674) / 2
LCM(12656,12674) = 160402144 / 2
LCM(12656,12674) = 80201072

Least Common Multiple (LCM) of 12656 and 12674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12656 and 12674. First we will calculate the prime factors of 12656 and 12674.

Prime Factorization of 12656

Prime Factorization of 12674

Now multiplying the highest exponent prime factors to calculate the LCM of 12656 and 12674.

LCM(12656,12674) = 2⁴ × 7¹ × 113¹ × 6337¹
LCM(12656,12674) = 80201072