What is the Least Common Multiple of 14656 and 14674?

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 14656 and 14674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14656 and 14674, than apply into the LCM equation.

GCF(14656,14674) = 2
LCM(14656,14674) = ( 14656 × 14674) / 2
LCM(14656,14674) = 215062144 / 2
LCM(14656,14674) = 107531072

Least Common Multiple (LCM) of 14656 and 14674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14656 and 14674. First we will calculate the prime factors of 14656 and 14674.

Prime Factorization of 14656

Prime Factorization of 14674

Now multiplying the highest exponent prime factors to calculate the LCM of 14656 and 14674.

LCM(14656,14674) = 2⁶ × 229¹ × 11¹ × 23¹ × 29¹
LCM(14656,14674) = 107531072