What is the Least Common Multiple of 13546 and 13561?

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 13546 and 13561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13546 and 13561, than apply into the LCM equation.

GCF(13546,13561) = 1
LCM(13546,13561) = ( 13546 × 13561) / 1
LCM(13546,13561) = 183697306 / 1
LCM(13546,13561) = 183697306

Least Common Multiple (LCM) of 13546 and 13561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13546 and 13561. First we will calculate the prime factors of 13546 and 13561.

Prime Factorization of 13546

Prime Factorization of 13561

Now multiplying the highest exponent prime factors to calculate the LCM of 13546 and 13561.

LCM(13546,13561) = 2¹ × 13¹ × 521¹ × 71¹ × 191¹
LCM(13546,13561) = 183697306