Least Common Multiple of 8624 and 8629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8624 and 8629 the smallest integer that is 74416496 that is divisible by both numbers.

Least Common Multiple (LCM) of 8624 and 8629 is 74416496.

LCM(8624,8629) = 74416496

LCM of 8624 and 8629

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

LCM of:
and

Least Common Multiple of 8624 and 8629

LCM of 8624 and 8629 is 74416496

Least common multiple can be found by multiplying the highest exponent prime factors of 8624 and 8629. First we will calculate the prime factors of 8624 and 8629.

Prime Factorization of 8624


2 8624
2 4312
2 2156
2 1078
7 539
7 77
11 11
1

Prime factors of 8624 are 2, 7,11. Prime factorization of 8624 in exponential form is:

8624 = 24×72×111

Prime Factorization of 8629


8629 8629
1

Prime factors of 8629 are 8629. Prime factorization of 8629 in exponential form is:

8629 = 86291

Now multiplying the highest exponent prime factors to calculate the LCM of 8624 and 8629.

LCM(8624,8629) = 24×72×111×86291
LCM(8624,8629) = 74416496

Factors of 8624

List of positive integer factors of 8624 that divides 8624 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 49, 56, 77, 88, 98, 112, 154, 176, 196, 308, 392, 539, 616, 784, 1078, 1232, 2156, 4312, 8624

Factors of 8629

List of positive integer factors of 8629 that divides 8629 without a remainder.

1, 8629

Least Common Multiple of 8624 and 8629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8624 and 8629, than apply into the LCM equation.

GCF(8624,8629) = 1
LCM(8624,8629) = ( 8624 × 8629) / 1
LCM(8624,8629) = 74416496 / 1
LCM(8624,8629) = 74416496

Properties of LCM 8624 and 8629

(i) The LCM of 8629 and 8624 is associative

LCM of 8624 and 8629 = LCM of 8629 and 8624

Related Least Common Multiples of 8624

Related Least Common Multiples of 8629

Frequently Asked Questions on LCM of 8624 and 8629

1. What is the LCM of 8624 and 8629?

Answer: LCM of 8624 and 8629 is 74416496.

2. What are the Factors of 8624?

Answer: Factors of 8624 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 49, 56, 77, 88, 98, 112, 154, 176, 196, 308, 392, 539, 616, 784, 1078, 1232, 2156, 4312, 8624. There are 30 integers that are factors of 8624. The greatest factor of 8624 is 8624.

3. What are the Factors of 8629?

Answer: Factors of 8629 are 1, 8629. There are 2 integers that are factors of 8629. The greatest factor of 8629 is 8629.

4. How to Find the LCM of 8624 and 8629?

Answer:

Least Common Multiple of 8624 and 8629 = 74416496

Step 1: Find the prime factorization of 8624

8624 = 2 x 2 x 2 x 2 x 7 x 7 x 11

Step 2: Find the prime factorization of 8629

8629 = 8629

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

LCM = 74416496 = 2 x 2 x 2 x 2 x 7 x 7 x 11 x 8629

Step 4: Therefore, the least common multiple of 8624 and 8629 is 74416496.