What is the Least Common Multiple of 13545 and 13554?

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 13545 and 13554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13545 and 13554, than apply into the LCM equation.

GCF(13545,13554) = 9
LCM(13545,13554) = ( 13545 × 13554) / 9
LCM(13545,13554) = 183588930 / 9
LCM(13545,13554) = 20398770

Least Common Multiple (LCM) of 13545 and 13554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13545 and 13554. First we will calculate the prime factors of 13545 and 13554.

Prime Factorization of 13545

Prime Factorization of 13554

Now multiplying the highest exponent prime factors to calculate the LCM of 13545 and 13554.

LCM(13545,13554) = 3³ × 5¹ × 7¹ × 43¹ × 2¹ × 251¹
LCM(13545,13554) = 20398770