What is the Least Common Multiple of 14520 and 14539?

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 14520 and 14539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14520 and 14539, than apply into the LCM equation.

GCF(14520,14539) = 1
LCM(14520,14539) = ( 14520 × 14539) / 1
LCM(14520,14539) = 211106280 / 1
LCM(14520,14539) = 211106280

Least Common Multiple (LCM) of 14520 and 14539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14520 and 14539. First we will calculate the prime factors of 14520 and 14539.

Prime Factorization of 14520

Prime Factorization of 14539

Now multiplying the highest exponent prime factors to calculate the LCM of 14520 and 14539.

LCM(14520,14539) = 2³ × 3¹ × 5¹ × 11² × 7¹ × 31¹ × 67¹
LCM(14520,14539) = 211106280