What is the Least Common Multiple of 14766 and 14784?

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 14766 and 14784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14766 and 14784, than apply into the LCM equation.

GCF(14766,14784) = 6
LCM(14766,14784) = ( 14766 × 14784) / 6
LCM(14766,14784) = 218300544 / 6
LCM(14766,14784) = 36383424

Least Common Multiple (LCM) of 14766 and 14784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14766 and 14784. First we will calculate the prime factors of 14766 and 14784.

Prime Factorization of 14766

Prime Factorization of 14784

Now multiplying the highest exponent prime factors to calculate the LCM of 14766 and 14784.

LCM(14766,14784) = 2⁶ × 3¹ × 23¹ × 107¹ × 7¹ × 11¹
LCM(14766,14784) = 36383424