Least Common Multiple of 29041 and 29046

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

• Least Common Multiple of 29041 and 29046 by Prime method
• Least Common Multiple of 29041 and 29046 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 29041 and 29046. First we will calculate the prime factors of 29041 and 29046.

Prime Factorization of 29041

Prime factors of 29041 are 113,257. Prime factorization of 29041 in exponential form is:

29041 = 113¹×257¹

Prime Factorization of 29046

Prime factors of 29046 are 2, 3, 47,103. Prime factorization of 29046 in exponential form is:

29046 = 2¹×3¹×47¹×103¹

Now multiplying the highest exponent prime factors to calculate the LCM of 29041 and 29046.

LCM(29041,29046) = 2¹×3¹×47¹×103¹×113¹×257¹
LCM(29041,29046) = 843524886

Factors of 29041

List of positive integer factors of 29041 that divides 29041 without a remainder.

1, 113, 257, 29041

Factors of 29046

List of positive integer factors of 29046 that divides 29046 without a remainder.

1, 2, 3, 6, 47, 94, 103, 141, 206, 282, 309, 618, 4841, 9682, 14523, 29046

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29041 and 29046, than apply into the LCM equation.

GCF(29041,29046) = 1
LCM(29041,29046) = ( 29041 × 29046) / 1
LCM(29041,29046) = 843524886 / 1
LCM(29041,29046) = 843524886

(i) The LCM of 29046 and 29041 is associative

LCM of 29041 and 29046 = LCM of 29046 and 29041

1. What is the LCM of 29041 and 29046?

Answer: LCM of 29041 and 29046 is 843524886.

2. What are the Factors of 29041?

Answer: Factors of 29041 are 1, 113, 257, 29041. There are 4 integers that are factors of 29041. The greatest factor of 29041 is 29041.

3. What are the Factors of 29046?

Answer: Factors of 29046 are 1, 2, 3, 6, 47, 94, 103, 141, 206, 282, 309, 618, 4841, 9682, 14523, 29046. There are 16 integers that are factors of 29046. The greatest factor of 29046 is 29046.

4. How to Find the LCM of 29041 and 29046?

Answer:

Least Common Multiple of 29041 and 29046 = 843524886

Step 1: Find the prime factorization of 29041

29041 = 113 x 257

Step 2: Find the prime factorization of 29046

29046 = 2 x 3 x 47 x 103

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

LCM = 843524886 = 2 x 3 x 47 x 103 x 113 x 257

Step 4: Therefore, the least common multiple of 29041 and 29046 is 843524886.