Least Common Multiple of 4509 and 4514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4509 and 4514 the smallest integer that is 20353626 that is divisible by both numbers.

Least Common Multiple (LCM) of 4509 and 4514 is 20353626.

LCM(4509,4514) = 20353626

LCM of 4509 and 4514

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4509 and 4514

LCM of 4509 and 4514 is 20353626

Least common multiple can be found by multiplying the highest exponent prime factors of 4509 and 4514. First we will calculate the prime factors of 4509 and 4514.

Prime Factorization of 4509


3 4509
3 1503
3 501
167 167
1

Prime factors of 4509 are 3,167. Prime factorization of 4509 in exponential form is:

4509 = 33×1671

Prime Factorization of 4514


2 4514
37 2257
61 61
1

Prime factors of 4514 are 2, 37,61. Prime factorization of 4514 in exponential form is:

4514 = 21×371×611

Now multiplying the highest exponent prime factors to calculate the LCM of 4509 and 4514.

LCM(4509,4514) = 21×33×371×611×1671
LCM(4509,4514) = 20353626

Factors of 4509

List of positive integer factors of 4509 that divides 4509 without a remainder.

1, 3, 9, 27, 167, 501, 1503, 4509

Factors of 4514

List of positive integer factors of 4514 that divides 4514 without a remainder.

1, 2, 37, 61, 74, 122, 2257, 4514

Least Common Multiple of 4509 and 4514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4509 and 4514, than apply into the LCM equation.

GCF(4509,4514) = 1
LCM(4509,4514) = ( 4509 × 4514) / 1
LCM(4509,4514) = 20353626 / 1
LCM(4509,4514) = 20353626

Properties of LCM 4509 and 4514

(i) The LCM of 4514 and 4509 is associative

LCM of 4509 and 4514 = LCM of 4514 and 4509

Related Least Common Multiples of 4509

Related Least Common Multiples of 4514

Frequently Asked Questions on LCM of 4509 and 4514

1. What is the LCM of 4509 and 4514?

Answer: LCM of 4509 and 4514 is 20353626.

2. What are the Factors of 4509?

Answer: Factors of 4509 are 1, 3, 9, 27, 167, 501, 1503, 4509. There are 8 integers that are factors of 4509. The greatest factor of 4509 is 4509.

3. What are the Factors of 4514?

Answer: Factors of 4514 are 1, 2, 37, 61, 74, 122, 2257, 4514. There are 8 integers that are factors of 4514. The greatest factor of 4514 is 4514.

4. How to Find the LCM of 4509 and 4514?

Answer:

Least Common Multiple of 4509 and 4514 = 20353626

Step 1: Find the prime factorization of 4509

4509 = 3 x 3 x 3 x 167

Step 2: Find the prime factorization of 4514

4514 = 2 x 37 x 61

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 20353626 = 2 x 3 x 3 x 3 x 37 x 61 x 167

Step 4: Therefore, the least common multiple of 4509 and 4514 is 20353626.