What is the Least Common Multiple of 13482 and 13491?

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 13482 and 13491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13482 and 13491, than apply into the LCM equation.

GCF(13482,13491) = 9
LCM(13482,13491) = ( 13482 × 13491) / 9
LCM(13482,13491) = 181885662 / 9
LCM(13482,13491) = 20209518

Least Common Multiple (LCM) of 13482 and 13491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13482 and 13491. First we will calculate the prime factors of 13482 and 13491.

Prime Factorization of 13482

Prime Factorization of 13491

Now multiplying the highest exponent prime factors to calculate the LCM of 13482 and 13491.

LCM(13482,13491) = 2¹ × 3² × 7¹ × 107¹ × 1499¹
LCM(13482,13491) = 20209518