Least Common Multiple of 146356 and 146363

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

• Least Common Multiple of 146356 and 146363 by Prime method
• Least Common Multiple of 146356 and 146363 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 146356 and 146363. First we will calculate the prime factors of 146356 and 146363.

Prime Factorization of 146356

Prime factors of 146356 are 2, 7,5227. Prime factorization of 146356 in exponential form is:

146356 = 2²×7¹×5227¹

Prime Factorization of 146363

Prime factors of 146363 are 7, 29,103. Prime factorization of 146363 in exponential form is:

146363 = 7²×29¹×103¹

Now multiplying the highest exponent prime factors to calculate the LCM of 146356 and 146363.

LCM(146356,146363) = 2²×7²×29¹×103¹×5227¹
LCM(146356,146363) = 3060157604

Factors of 146356

List of positive integer factors of 146356 that divides 146356 without a remainder.

1, 2, 4, 7, 14, 28, 5227, 10454, 20908, 36589, 73178, 146356

Factors of 146363

List of positive integer factors of 146363 that divides 146363 without a remainder.

1, 7, 29, 49, 103, 203, 721, 1421, 2987, 5047, 20909, 146363

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146356 and 146363, than apply into the LCM equation.

GCF(146356,146363) = 7
LCM(146356,146363) = ( 146356 × 146363) / 7
LCM(146356,146363) = 21421103228 / 7
LCM(146356,146363) = 3060157604

(i) The LCM of 146363 and 146356 is associative

LCM of 146356 and 146363 = LCM of 146363 and 146356

1. What is the LCM of 146356 and 146363?

Answer: LCM of 146356 and 146363 is 3060157604.

2. What are the Factors of 146356?

Answer: Factors of 146356 are 1, 2, 4, 7, 14, 28, 5227, 10454, 20908, 36589, 73178, 146356. There are 12 integers that are factors of 146356. The greatest factor of 146356 is 146356.

3. What are the Factors of 146363?

Answer: Factors of 146363 are 1, 7, 29, 49, 103, 203, 721, 1421, 2987, 5047, 20909, 146363. There are 12 integers that are factors of 146363. The greatest factor of 146363 is 146363.

4. How to Find the LCM of 146356 and 146363?

Answer:

Least Common Multiple of 146356 and 146363 = 3060157604

Step 1: Find the prime factorization of 146356

146356 = 2 x 2 x 7 x 5227

Step 2: Find the prime factorization of 146363

146363 = 7 x 7 x 29 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 = 3060157604 = 2 x 2 x 7 x 7 x 29 x 103 x 5227

Step 4: Therefore, the least common multiple of 146356 and 146363 is 3060157604.