What is the Least Common Multiple of 14469 and 14485?

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 14469 and 14485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14469 and 14485, than apply into the LCM equation.

GCF(14469,14485) = 1
LCM(14469,14485) = ( 14469 × 14485) / 1
LCM(14469,14485) = 209583465 / 1
LCM(14469,14485) = 209583465

Least Common Multiple (LCM) of 14469 and 14485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14469 and 14485. First we will calculate the prime factors of 14469 and 14485.

Prime Factorization of 14469

Prime Factorization of 14485

Now multiplying the highest exponent prime factors to calculate the LCM of 14469 and 14485.

LCM(14469,14485) = 3¹ × 7¹ × 13¹ × 53¹ × 5¹ × 2897¹
LCM(14469,14485) = 209583465