Least Common Multiple of 2502 and 2509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2502 and 2509 the smallest integer that is 6277518 that is divisible by both numbers.

Least Common Multiple (LCM) of 2502 and 2509 is 6277518.

LCM(2502,2509) = 6277518

LCM of 2502 and 2509

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

LCM of:
and

Least Common Multiple of 2502 and 2509

LCM of 2502 and 2509 is 6277518

Least common multiple can be found by multiplying the highest exponent prime factors of 2502 and 2509. First we will calculate the prime factors of 2502 and 2509.

Prime Factorization of 2502


2 2502
3 1251
3 417
139 139
1

Prime factors of 2502 are 2, 3,139. Prime factorization of 2502 in exponential form is:

2502 = 21×32×1391

Prime Factorization of 2509


13 2509
193 193
1

Prime factors of 2509 are 13,193. Prime factorization of 2509 in exponential form is:

2509 = 131×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 2502 and 2509.

LCM(2502,2509) = 21×32×131×1391×1931
LCM(2502,2509) = 6277518

Factors of 2502

List of positive integer factors of 2502 that divides 2502 without a remainder.

1, 2, 3, 6, 9, 18, 139, 278, 417, 834, 1251, 2502

Factors of 2509

List of positive integer factors of 2509 that divides 2509 without a remainder.

1, 13, 193, 2509

Least Common Multiple of 2502 and 2509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2502 and 2509, than apply into the LCM equation.

GCF(2502,2509) = 1
LCM(2502,2509) = ( 2502 × 2509) / 1
LCM(2502,2509) = 6277518 / 1
LCM(2502,2509) = 6277518

Properties of LCM 2502 and 2509

(i) The LCM of 2509 and 2502 is associative

LCM of 2502 and 2509 = LCM of 2509 and 2502

Related Least Common Multiples of 2502

Related Least Common Multiples of 2509

Frequently Asked Questions on LCM of 2502 and 2509

1. What is the LCM of 2502 and 2509?

Answer: LCM of 2502 and 2509 is 6277518.

2. What are the Factors of 2502?

Answer: Factors of 2502 are 1, 2, 3, 6, 9, 18, 139, 278, 417, 834, 1251, 2502. There are 12 integers that are factors of 2502. The greatest factor of 2502 is 2502.

3. What are the Factors of 2509?

Answer: Factors of 2509 are 1, 13, 193, 2509. There are 4 integers that are factors of 2509. The greatest factor of 2509 is 2509.

4. How to Find the LCM of 2502 and 2509?

Answer:

Least Common Multiple of 2502 and 2509 = 6277518

Step 1: Find the prime factorization of 2502

2502 = 2 x 3 x 3 x 139

Step 2: Find the prime factorization of 2509

2509 = 13 x 193

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

LCM = 6277518 = 2 x 3 x 3 x 13 x 139 x 193

Step 4: Therefore, the least common multiple of 2502 and 2509 is 6277518.