Least Common Multiple of 2532 and 2534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2532 and 2534 the smallest integer that is 3208044 that is divisible by both numbers.

Least Common Multiple (LCM) of 2532 and 2534 is 3208044.

LCM(2532,2534) = 3208044

LCM of 2532 and 2534

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

LCM of:
and

Least Common Multiple of 2532 and 2534

LCM of 2532 and 2534 is 3208044

Least common multiple can be found by multiplying the highest exponent prime factors of 2532 and 2534. First we will calculate the prime factors of 2532 and 2534.

Prime Factorization of 2532


2 2532
2 1266
3 633
211 211
1

Prime factors of 2532 are 2, 3,211. Prime factorization of 2532 in exponential form is:

2532 = 22×31×2111

Prime Factorization of 2534


2 2534
7 1267
181 181
1

Prime factors of 2534 are 2, 7,181. Prime factorization of 2534 in exponential form is:

2534 = 21×71×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 2532 and 2534.

LCM(2532,2534) = 22×31×71×1811×2111
LCM(2532,2534) = 3208044

Factors of 2532

List of positive integer factors of 2532 that divides 2532 without a remainder.

1, 2, 3, 4, 6, 12, 211, 422, 633, 844, 1266, 2532

Factors of 2534

List of positive integer factors of 2534 that divides 2534 without a remainder.

1, 2, 7, 14, 181, 362, 1267, 2534

Least Common Multiple of 2532 and 2534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2532 and 2534, than apply into the LCM equation.

GCF(2532,2534) = 2
LCM(2532,2534) = ( 2532 × 2534) / 2
LCM(2532,2534) = 6416088 / 2
LCM(2532,2534) = 3208044

Properties of LCM 2532 and 2534

(i) The LCM of 2534 and 2532 is associative

LCM of 2532 and 2534 = LCM of 2534 and 2532

Related Least Common Multiples of 2532

Related Least Common Multiples of 2534

Frequently Asked Questions on LCM of 2532 and 2534

1. What is the LCM of 2532 and 2534?

Answer: LCM of 2532 and 2534 is 3208044.

2. What are the Factors of 2532?

Answer: Factors of 2532 are 1, 2, 3, 4, 6, 12, 211, 422, 633, 844, 1266, 2532. There are 12 integers that are factors of 2532. The greatest factor of 2532 is 2532.

3. What are the Factors of 2534?

Answer: Factors of 2534 are 1, 2, 7, 14, 181, 362, 1267, 2534. There are 8 integers that are factors of 2534. The greatest factor of 2534 is 2534.

4. How to Find the LCM of 2532 and 2534?

Answer:

Least Common Multiple of 2532 and 2534 = 3208044

Step 1: Find the prime factorization of 2532

2532 = 2 x 2 x 3 x 211

Step 2: Find the prime factorization of 2534

2534 = 2 x 7 x 181

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

LCM = 3208044 = 2 x 2 x 3 x 7 x 181 x 211

Step 4: Therefore, the least common multiple of 2532 and 2534 is 3208044.