Least Common Multiple of 8628 and 8633

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 8633 the smallest integer that is 74485524 that is divisible by both numbers.

Least Common Multiple (LCM) of 8628 and 8633 is 74485524.

LCM(8628,8633) = 74485524

LCM of 8628 and 8633

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

LCM of:
and

Least Common Multiple of 8628 and 8633

LCM of 8628 and 8633 is 74485524

Least common multiple can be found by multiplying the highest exponent prime factors of 8628 and 8633. First we will calculate the prime factors of 8628 and 8633.

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 8633


89 8633
97 97
1

Prime factors of 8633 are 89,97. Prime factorization of 8633 in exponential form is:

8633 = 891×971

Now multiplying the highest exponent prime factors to calculate the LCM of 8628 and 8633.

LCM(8628,8633) = 22×31×891×971×7191
LCM(8628,8633) = 74485524

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 8633

List of positive integer factors of 8633 that divides 8633 without a remainder.

1, 89, 97, 8633

Least Common Multiple of 8628 and 8633 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 8633, than apply into the LCM equation.

GCF(8628,8633) = 1
LCM(8628,8633) = ( 8628 × 8633) / 1
LCM(8628,8633) = 74485524 / 1
LCM(8628,8633) = 74485524

Properties of LCM 8628 and 8633

(i) The LCM of 8633 and 8628 is associative

LCM of 8628 and 8633 = LCM of 8633 and 8628

Related Least Common Multiples of 8628

Related Least Common Multiples of 8633

Frequently Asked Questions on LCM of 8628 and 8633

1. What is the LCM of 8628 and 8633?

Answer: LCM of 8628 and 8633 is 74485524.

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 8633?

Answer: Factors of 8633 are 1, 89, 97, 8633. There are 4 integers that are factors of 8633. The greatest factor of 8633 is 8633.

4. How to Find the LCM of 8628 and 8633?

Answer:

Least Common Multiple of 8628 and 8633 = 74485524

Step 1: Find the prime factorization of 8628

8628 = 2 x 2 x 3 x 719

Step 2: Find the prime factorization of 8633

8633 = 89 x 97

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

LCM = 74485524 = 2 x 2 x 3 x 89 x 97 x 719

Step 4: Therefore, the least common multiple of 8628 and 8633 is 74485524.