Least Common Multiple of 29112 and 29118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 29112 and 29118 the smallest integer that is 141280536 that is divisible by both numbers.

Least Common Multiple (LCM) of 29112 and 29118 is 141280536.

LCM(29112,29118) = 141280536

LCM of 29112 and 29118

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

LCM of:
and

Least Common Multiple of 29112 and 29118

LCM of 29112 and 29118 is 141280536

Least common multiple can be found by multiplying the highest exponent prime factors of 29112 and 29118. First we will calculate the prime factors of 29112 and 29118.

Prime Factorization of 29112


2 29112
2 14556
2 7278
3 3639
1213 1213
1

Prime factors of 29112 are 2, 3,1213. Prime factorization of 29112 in exponential form is:

29112 = 23×31×12131

Prime Factorization of 29118


2 29118
3 14559
23 4853
211 211
1

Prime factors of 29118 are 2, 3, 23,211. Prime factorization of 29118 in exponential form is:

29118 = 21×31×231×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 29112 and 29118.

LCM(29112,29118) = 23×31×231×2111×12131
LCM(29112,29118) = 141280536

Factors of 29112

List of positive integer factors of 29112 that divides 29112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1213, 2426, 3639, 4852, 7278, 9704, 14556, 29112

Factors of 29118

List of positive integer factors of 29118 that divides 29118 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 211, 422, 633, 1266, 4853, 9706, 14559, 29118

Least Common Multiple of 29112 and 29118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29112 and 29118, than apply into the LCM equation.

GCF(29112,29118) = 6
LCM(29112,29118) = ( 29112 × 29118) / 6
LCM(29112,29118) = 847683216 / 6
LCM(29112,29118) = 141280536

Properties of LCM 29112 and 29118

(i) The LCM of 29118 and 29112 is associative

LCM of 29112 and 29118 = LCM of 29118 and 29112

Related Least Common Multiples of 29112

Related Least Common Multiples of 29118

Frequently Asked Questions on LCM of 29112 and 29118

1. What is the LCM of 29112 and 29118?

Answer: LCM of 29112 and 29118 is 141280536.

2. What are the Factors of 29112?

Answer: Factors of 29112 are 1, 2, 3, 4, 6, 8, 12, 24, 1213, 2426, 3639, 4852, 7278, 9704, 14556, 29112. There are 16 integers that are factors of 29112. The greatest factor of 29112 is 29112.

3. What are the Factors of 29118?

Answer: Factors of 29118 are 1, 2, 3, 6, 23, 46, 69, 138, 211, 422, 633, 1266, 4853, 9706, 14559, 29118. There are 16 integers that are factors of 29118. The greatest factor of 29118 is 29118.

4. How to Find the LCM of 29112 and 29118?

Answer:

Least Common Multiple of 29112 and 29118 = 141280536

Step 1: Find the prime factorization of 29112

29112 = 2 x 2 x 2 x 3 x 1213

Step 2: Find the prime factorization of 29118

29118 = 2 x 3 x 23 x 211

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

LCM = 141280536 = 2 x 2 x 2 x 3 x 23 x 211 x 1213

Step 4: Therefore, the least common multiple of 29112 and 29118 is 141280536.