Least Common Multiple of 2628 and 2632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2628 and 2632 the smallest integer that is 1729224 that is divisible by both numbers.

Least Common Multiple (LCM) of 2628 and 2632 is 1729224.

LCM(2628,2632) = 1729224

LCM of 2628 and 2632

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

LCM of:
and

Least Common Multiple of 2628 and 2632

LCM of 2628 and 2632 is 1729224

Least common multiple can be found by multiplying the highest exponent prime factors of 2628 and 2632. First we will calculate the prime factors of 2628 and 2632.

Prime Factorization of 2628


2 2628
2 1314
3 657
3 219
73 73
1

Prime factors of 2628 are 2, 3,73. Prime factorization of 2628 in exponential form is:

2628 = 22×32×731

Prime Factorization of 2632


2 2632
2 1316
2 658
7 329
47 47
1

Prime factors of 2632 are 2, 7,47. Prime factorization of 2632 in exponential form is:

2632 = 23×71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 2628 and 2632.

LCM(2628,2632) = 23×32×71×471×731
LCM(2628,2632) = 1729224

Factors of 2628

List of positive integer factors of 2628 that divides 2628 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314, 2628

Factors of 2632

List of positive integer factors of 2632 that divides 2632 without a remainder.

1, 2, 4, 7, 8, 14, 28, 47, 56, 94, 188, 329, 376, 658, 1316, 2632

Least Common Multiple of 2628 and 2632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2628 and 2632, than apply into the LCM equation.

GCF(2628,2632) = 4
LCM(2628,2632) = ( 2628 × 2632) / 4
LCM(2628,2632) = 6916896 / 4
LCM(2628,2632) = 1729224

Properties of LCM 2628 and 2632

(i) The LCM of 2632 and 2628 is associative

LCM of 2628 and 2632 = LCM of 2632 and 2628

Related Least Common Multiples of 2628

Related Least Common Multiples of 2632

Frequently Asked Questions on LCM of 2628 and 2632

1. What is the LCM of 2628 and 2632?

Answer: LCM of 2628 and 2632 is 1729224.

2. What are the Factors of 2628?

Answer: Factors of 2628 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314, 2628. There are 18 integers that are factors of 2628. The greatest factor of 2628 is 2628.

3. What are the Factors of 2632?

Answer: Factors of 2632 are 1, 2, 4, 7, 8, 14, 28, 47, 56, 94, 188, 329, 376, 658, 1316, 2632. There are 16 integers that are factors of 2632. The greatest factor of 2632 is 2632.

4. How to Find the LCM of 2628 and 2632?

Answer:

Least Common Multiple of 2628 and 2632 = 1729224

Step 1: Find the prime factorization of 2628

2628 = 2 x 2 x 3 x 3 x 73

Step 2: Find the prime factorization of 2632

2632 = 2 x 2 x 2 x 7 x 47

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

LCM = 1729224 = 2 x 2 x 2 x 3 x 3 x 7 x 47 x 73

Step 4: Therefore, the least common multiple of 2628 and 2632 is 1729224.