Least Common Multiple of 29052 and 29057

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 29057 the smallest integer that is 844163964 that is divisible by both numbers.

Least Common Multiple (LCM) of 29052 and 29057 is 844163964.

LCM(29052,29057) = 844163964

LCM of 29052 and 29057

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

LCM of:
and

Least Common Multiple of 29052 and 29057

LCM of 29052 and 29057 is 844163964

Least common multiple can be found by multiplying the highest exponent prime factors of 29052 and 29057. First we will calculate the prime factors of 29052 and 29057.

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 29057


7 29057
7 4151
593 593
1

Prime factors of 29057 are 7,593. Prime factorization of 29057 in exponential form is:

29057 = 72×5931

Now multiplying the highest exponent prime factors to calculate the LCM of 29052 and 29057.

LCM(29052,29057) = 22×33×72×2691×5931
LCM(29052,29057) = 844163964

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 29057

List of positive integer factors of 29057 that divides 29057 without a remainder.

1, 7, 49, 593, 4151, 29057

Least Common Multiple of 29052 and 29057 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 29057, than apply into the LCM equation.

GCF(29052,29057) = 1
LCM(29052,29057) = ( 29052 × 29057) / 1
LCM(29052,29057) = 844163964 / 1
LCM(29052,29057) = 844163964

Properties of LCM 29052 and 29057

(i) The LCM of 29057 and 29052 is associative

LCM of 29052 and 29057 = LCM of 29057 and 29052

Related Least Common Multiples of 29052

Related Least Common Multiples of 29057

Frequently Asked Questions on LCM of 29052 and 29057

1. What is the LCM of 29052 and 29057?

Answer: LCM of 29052 and 29057 is 844163964.

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 29057?

Answer: Factors of 29057 are 1, 7, 49, 593, 4151, 29057. There are 6 integers that are factors of 29057. The greatest factor of 29057 is 29057.

4. How to Find the LCM of 29052 and 29057?

Answer:

Least Common Multiple of 29052 and 29057 = 844163964

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 29057

29057 = 7 x 7 x 593

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

LCM = 844163964 = 2 x 2 x 3 x 3 x 3 x 7 x 7 x 269 x 593

Step 4: Therefore, the least common multiple of 29052 and 29057 is 844163964.