Least Common Multiple of 29049 and 29054

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

• Least Common Multiple of 29049 and 29054 by Prime method
• Least Common Multiple of 29049 and 29054 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 29049 and 29054. First we will calculate the prime factors of 29049 and 29054.

Prime Factorization of 29049

Prime factors of 29049 are 3, 23,421. Prime factorization of 29049 in exponential form is:

29049 = 3¹×23¹×421¹

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 29049 and 29054.

LCM(29049,29054) = 2¹×3¹×23¹×73¹×199¹×421¹
LCM(29049,29054) = 843989646

Factors of 29049

List of positive integer factors of 29049 that divides 29049 without a remainder.

1, 3, 23, 69, 421, 1263, 9683, 29049

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 29049 and 29054, than apply into the LCM equation.

GCF(29049,29054) = 1
LCM(29049,29054) = ( 29049 × 29054) / 1
LCM(29049,29054) = 843989646 / 1
LCM(29049,29054) = 843989646

(i) The LCM of 29054 and 29049 is associative

LCM of 29049 and 29054 = LCM of 29054 and 29049

1. What is the LCM of 29049 and 29054?

Answer: LCM of 29049 and 29054 is 843989646.

2. What are the Factors of 29049?

Answer: Factors of 29049 are 1, 3, 23, 69, 421, 1263, 9683, 29049. There are 8 integers that are factors of 29049. The greatest factor of 29049 is 29049.

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 29049 and 29054?

Answer:

Least Common Multiple of 29049 and 29054 = 843989646

Step 1: Find the prime factorization of 29049

29049 = 3 x 23 x 421

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 = 843989646 = 2 x 3 x 23 x 73 x 199 x 421

Step 4: Therefore, the least common multiple of 29049 and 29054 is 843989646.