What is the Least Common Multiple of 13485 and 13505?

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 13485 and 13505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13485 and 13505, than apply into the LCM equation.

GCF(13485,13505) = 5
LCM(13485,13505) = ( 13485 × 13505) / 5
LCM(13485,13505) = 182114925 / 5
LCM(13485,13505) = 36422985

Least Common Multiple (LCM) of 13485 and 13505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13485 and 13505. First we will calculate the prime factors of 13485 and 13505.

Prime Factorization of 13485

Prime Factorization of 13505

Now multiplying the highest exponent prime factors to calculate the LCM of 13485 and 13505.

LCM(13485,13505) = 3¹ × 5¹ × 29¹ × 31¹ × 37¹ × 73¹
LCM(13485,13505) = 36422985