What is the Least Common Multiple of 17505 and 17520?

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 17505 and 17520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17505 and 17520, than apply into the LCM equation.

GCF(17505,17520) = 15
LCM(17505,17520) = ( 17505 × 17520) / 15
LCM(17505,17520) = 306687600 / 15
LCM(17505,17520) = 20445840

Least Common Multiple (LCM) of 17505 and 17520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17505 and 17520. First we will calculate the prime factors of 17505 and 17520.

Prime Factorization of 17505

Prime Factorization of 17520

Now multiplying the highest exponent prime factors to calculate the LCM of 17505 and 17520.

LCM(17505,17520) = 3² × 5¹ × 389¹ × 2⁴ × 73¹
LCM(17505,17520) = 20445840