Least Common Multiple of 29052 and 29059

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 29059 the smallest integer that is 844222068 that is divisible by both numbers.

Least Common Multiple (LCM) of 29052 and 29059 is 844222068.

LCM(29052,29059) = 844222068

LCM of 29052 and 29059

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

LCM of:
and

Least Common Multiple of 29052 and 29059

LCM of 29052 and 29059 is 844222068

Least common multiple can be found by multiplying the highest exponent prime factors of 29052 and 29059. First we will calculate the prime factors of 29052 and 29059.

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 29059


29059 29059
1

Prime factors of 29059 are 29059. Prime factorization of 29059 in exponential form is:

29059 = 290591

Now multiplying the highest exponent prime factors to calculate the LCM of 29052 and 29059.

LCM(29052,29059) = 22×33×2691×290591
LCM(29052,29059) = 844222068

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 29059

List of positive integer factors of 29059 that divides 29059 without a remainder.

1, 29059

Least Common Multiple of 29052 and 29059 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 29059, than apply into the LCM equation.

GCF(29052,29059) = 1
LCM(29052,29059) = ( 29052 × 29059) / 1
LCM(29052,29059) = 844222068 / 1
LCM(29052,29059) = 844222068

Properties of LCM 29052 and 29059

(i) The LCM of 29059 and 29052 is associative

LCM of 29052 and 29059 = LCM of 29059 and 29052

Related Least Common Multiples of 29052

Related Least Common Multiples of 29059

Frequently Asked Questions on LCM of 29052 and 29059

1. What is the LCM of 29052 and 29059?

Answer: LCM of 29052 and 29059 is 844222068.

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 29059?

Answer: Factors of 29059 are 1, 29059. There are 2 integers that are factors of 29059. The greatest factor of 29059 is 29059.

4. How to Find the LCM of 29052 and 29059?

Answer:

Least Common Multiple of 29052 and 29059 = 844222068

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 29059

29059 = 29059

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

LCM = 844222068 = 2 x 2 x 3 x 3 x 3 x 269 x 29059

Step 4: Therefore, the least common multiple of 29052 and 29059 is 844222068.