What is the Least Common Multiple of 13554 and 13566?

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 13554 and 13566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13554 and 13566, than apply into the LCM equation.

GCF(13554,13566) = 6
LCM(13554,13566) = ( 13554 × 13566) / 6
LCM(13554,13566) = 183873564 / 6
LCM(13554,13566) = 30645594

Least Common Multiple (LCM) of 13554 and 13566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13554 and 13566. First we will calculate the prime factors of 13554 and 13566.

Prime Factorization of 13554

Prime Factorization of 13566

Now multiplying the highest exponent prime factors to calculate the LCM of 13554 and 13566.

LCM(13554,13566) = 2¹ × 3³ × 251¹ × 7¹ × 17¹ × 19¹
LCM(13554,13566) = 30645594