Least Common Multiple of 29046 and 29054

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

• Least Common Multiple of 29046 and 29054 by Prime method
• Least Common Multiple of 29046 and 29054 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 29046 and 29054. First we will calculate the prime factors of 29046 and 29054.

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

Prime Factorization of 29054

Prime factors of 29054 are 2, 73,199. Prime factorization of 29054 in exponential form is:

29054 = 2¹×73¹×199¹

Now multiplying the highest exponent prime factors to calculate the LCM of 29046 and 29054.

LCM(29046,29054) = 2¹×3¹×47¹×73¹×103¹×199¹
LCM(29046,29054) = 421951242

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

Factors of 29054

List of positive integer factors of 29054 that divides 29054 without a remainder.

1, 2, 73, 146, 199, 398, 14527, 29054

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29046 and 29054, than apply into the LCM equation.

GCF(29046,29054) = 2
LCM(29046,29054) = ( 29046 × 29054) / 2
LCM(29046,29054) = 843902484 / 2
LCM(29046,29054) = 421951242

(i) The LCM of 29054 and 29046 is associative

LCM of 29046 and 29054 = LCM of 29054 and 29046

1. What is the LCM of 29046 and 29054?

Answer: LCM of 29046 and 29054 is 421951242.

2. 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.

3. What are the Factors of 29054?

Answer: Factors of 29054 are 1, 2, 73, 146, 199, 398, 14527, 29054. There are 8 integers that are factors of 29054. The greatest factor of 29054 is 29054.

4. How to Find the LCM of 29046 and 29054?

Answer:

Least Common Multiple of 29046 and 29054 = 421951242

Step 1: Find the prime factorization of 29046

29046 = 2 x 3 x 47 x 103

Step 2: Find the prime factorization of 29054

29054 = 2 x 73 x 199

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

LCM = 421951242 = 2 x 3 x 47 x 73 x 103 x 199

Step 4: Therefore, the least common multiple of 29046 and 29054 is 421951242.