What is the Least Common Multiple of 14667 and 14680?

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 14667 and 14680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14667 and 14680, than apply into the LCM equation.

GCF(14667,14680) = 1
LCM(14667,14680) = ( 14667 × 14680) / 1
LCM(14667,14680) = 215311560 / 1
LCM(14667,14680) = 215311560

Least Common Multiple (LCM) of 14667 and 14680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14667 and 14680. First we will calculate the prime factors of 14667 and 14680.

Prime Factorization of 14667

Prime Factorization of 14680

Now multiplying the highest exponent prime factors to calculate the LCM of 14667 and 14680.

LCM(14667,14680) = 3¹ × 4889¹ × 2³ × 5¹ × 367¹
LCM(14667,14680) = 215311560