What is the Least Common Multiple of 14674 and 14688?

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 14674 and 14688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14674 and 14688, than apply into the LCM equation.

GCF(14674,14688) = 2
LCM(14674,14688) = ( 14674 × 14688) / 2
LCM(14674,14688) = 215531712 / 2
LCM(14674,14688) = 107765856

Least Common Multiple (LCM) of 14674 and 14688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14674 and 14688. First we will calculate the prime factors of 14674 and 14688.

Prime Factorization of 14674

Prime Factorization of 14688

Now multiplying the highest exponent prime factors to calculate the LCM of 14674 and 14688.

LCM(14674,14688) = 2⁵ × 11¹ × 23¹ × 29¹ × 3³ × 17¹
LCM(14674,14688) = 107765856