Least Common Multiple of 8628 and 8632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8628 and 8632 the smallest integer that is 18619224 that is divisible by both numbers.

Least Common Multiple (LCM) of 8628 and 8632 is 18619224.

LCM(8628,8632) = 18619224

LCM of 8628 and 8632

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

LCM of:
and

Least Common Multiple of 8628 and 8632

LCM of 8628 and 8632 is 18619224

Least common multiple can be found by multiplying the highest exponent prime factors of 8628 and 8632. First we will calculate the prime factors of 8628 and 8632.

Prime Factorization of 8628


2 8628
2 4314
3 2157
719 719
1

Prime factors of 8628 are 2, 3,719. Prime factorization of 8628 in exponential form is:

8628 = 22×31×7191

Prime Factorization of 8632


2 8632
2 4316
2 2158
13 1079
83 83
1

Prime factors of 8632 are 2, 13,83. Prime factorization of 8632 in exponential form is:

8632 = 23×131×831

Now multiplying the highest exponent prime factors to calculate the LCM of 8628 and 8632.

LCM(8628,8632) = 23×31×131×831×7191
LCM(8628,8632) = 18619224

Factors of 8628

List of positive integer factors of 8628 that divides 8628 without a remainder.

1, 2, 3, 4, 6, 12, 719, 1438, 2157, 2876, 4314, 8628

Factors of 8632

List of positive integer factors of 8632 that divides 8632 without a remainder.

1, 2, 4, 8, 13, 26, 52, 83, 104, 166, 332, 664, 1079, 2158, 4316, 8632

Least Common Multiple of 8628 and 8632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8628 and 8632, than apply into the LCM equation.

GCF(8628,8632) = 4
LCM(8628,8632) = ( 8628 × 8632) / 4
LCM(8628,8632) = 74476896 / 4
LCM(8628,8632) = 18619224

Properties of LCM 8628 and 8632

(i) The LCM of 8632 and 8628 is associative

LCM of 8628 and 8632 = LCM of 8632 and 8628

Related Least Common Multiples of 8628

Related Least Common Multiples of 8632

Frequently Asked Questions on LCM of 8628 and 8632

1. What is the LCM of 8628 and 8632?

Answer: LCM of 8628 and 8632 is 18619224.

2. What are the Factors of 8628?

Answer: Factors of 8628 are 1, 2, 3, 4, 6, 12, 719, 1438, 2157, 2876, 4314, 8628. There are 12 integers that are factors of 8628. The greatest factor of 8628 is 8628.

3. What are the Factors of 8632?

Answer: Factors of 8632 are 1, 2, 4, 8, 13, 26, 52, 83, 104, 166, 332, 664, 1079, 2158, 4316, 8632. There are 16 integers that are factors of 8632. The greatest factor of 8632 is 8632.

4. How to Find the LCM of 8628 and 8632?

Answer:

Least Common Multiple of 8628 and 8632 = 18619224

Step 1: Find the prime factorization of 8628

8628 = 2 x 2 x 3 x 719

Step 2: Find the prime factorization of 8632

8632 = 2 x 2 x 2 x 13 x 83

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

LCM = 18619224 = 2 x 2 x 2 x 3 x 13 x 83 x 719

Step 4: Therefore, the least common multiple of 8628 and 8632 is 18619224.