Least Common Multiple of 29052 and 29058

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 29052 and 29058 the smallest integer that is 140698836 that is divisible by both numbers.

Least Common Multiple (LCM) of 29052 and 29058 is 140698836.

LCM(29052,29058) = 140698836

LCM of 29052 and 29058

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

LCM of:
and

Least Common Multiple of 29052 and 29058

LCM of 29052 and 29058 is 140698836

Least common multiple can be found by multiplying the highest exponent prime factors of 29052 and 29058. First we will calculate the prime factors of 29052 and 29058.

Prime Factorization of 29052


2 29052
2 14526
3 7263
3 2421
3 807
269 269
1

Prime factors of 29052 are 2, 3,269. Prime factorization of 29052 in exponential form is:

29052 = 22×33×2691

Prime Factorization of 29058


2 29058
3 14529
29 4843
167 167
1

Prime factors of 29058 are 2, 3, 29,167. Prime factorization of 29058 in exponential form is:

29058 = 21×31×291×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 29052 and 29058.

LCM(29052,29058) = 22×33×291×1671×2691
LCM(29052,29058) = 140698836

Factors of 29052

List of positive integer factors of 29052 that divides 29052 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 269, 538, 807, 1076, 1614, 2421, 3228, 4842, 7263, 9684, 14526, 29052

Factors of 29058

List of positive integer factors of 29058 that divides 29058 without a remainder.

1, 2, 3, 6, 29, 58, 87, 167, 174, 334, 501, 1002, 4843, 9686, 14529, 29058

Least Common Multiple of 29052 and 29058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29052 and 29058, than apply into the LCM equation.

GCF(29052,29058) = 6
LCM(29052,29058) = ( 29052 × 29058) / 6
LCM(29052,29058) = 844193016 / 6
LCM(29052,29058) = 140698836

Properties of LCM 29052 and 29058

(i) The LCM of 29058 and 29052 is associative

LCM of 29052 and 29058 = LCM of 29058 and 29052

Related Least Common Multiples of 29052

Related Least Common Multiples of 29058

Frequently Asked Questions on LCM of 29052 and 29058

1. What is the LCM of 29052 and 29058?

Answer: LCM of 29052 and 29058 is 140698836.

2. What are the Factors of 29052?

Answer: Factors of 29052 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 269, 538, 807, 1076, 1614, 2421, 3228, 4842, 7263, 9684, 14526, 29052. There are 24 integers that are factors of 29052. The greatest factor of 29052 is 29052.

3. What are the Factors of 29058?

Answer: Factors of 29058 are 1, 2, 3, 6, 29, 58, 87, 167, 174, 334, 501, 1002, 4843, 9686, 14529, 29058. There are 16 integers that are factors of 29058. The greatest factor of 29058 is 29058.

4. How to Find the LCM of 29052 and 29058?

Answer:

Least Common Multiple of 29052 and 29058 = 140698836

Step 1: Find the prime factorization of 29052

29052 = 2 x 2 x 3 x 3 x 3 x 269

Step 2: Find the prime factorization of 29058

29058 = 2 x 3 x 29 x 167

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

LCM = 140698836 = 2 x 2 x 3 x 3 x 3 x 29 x 167 x 269

Step 4: Therefore, the least common multiple of 29052 and 29058 is 140698836.