Least Common Multiple of 316446 and 316453

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

• Least Common Multiple of 316446 and 316453 by Prime method
• Least Common Multiple of 316446 and 316453 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 316446 and 316453. First we will calculate the prime factors of 316446 and 316453.

Prime Factorization of 316446

Prime factors of 316446 are 2, 3, 13,4057. Prime factorization of 316446 in exponential form is:

316446 = 2¹×3¹×13¹×4057¹

Prime Factorization of 316453

Prime factors of 316453 are 316453. Prime factorization of 316453 in exponential form is:

316453 = 316453¹

Now multiplying the highest exponent prime factors to calculate the LCM of 316446 and 316453.

LCM(316446,316453) = 2¹×3¹×13¹×4057¹×316453¹
LCM(316446,316453) = 100140286038

Factors of 316446

List of positive integer factors of 316446 that divides 316446 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 4057, 8114, 12171, 24342, 52741, 105482, 158223, 316446

Factors of 316453

List of positive integer factors of 316453 that divides 316453 without a remainder.

1, 316453

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 316446 and 316453, than apply into the LCM equation.

GCF(316446,316453) = 1
LCM(316446,316453) = ( 316446 × 316453) / 1
LCM(316446,316453) = 100140286038 / 1
LCM(316446,316453) = 100140286038

(i) The LCM of 316453 and 316446 is associative

LCM of 316446 and 316453 = LCM of 316453 and 316446

1. What is the LCM of 316446 and 316453?

Answer: LCM of 316446 and 316453 is 100140286038.

2. What are the Factors of 316446?

Answer: Factors of 316446 are 1, 2, 3, 6, 13, 26, 39, 78, 4057, 8114, 12171, 24342, 52741, 105482, 158223, 316446. There are 16 integers that are factors of 316446. The greatest factor of 316446 is 316446.

3. What are the Factors of 316453?

Answer: Factors of 316453 are 1, 316453. There are 2 integers that are factors of 316453. The greatest factor of 316453 is 316453.

4. How to Find the LCM of 316446 and 316453?

Answer:

Least Common Multiple of 316446 and 316453 = 100140286038

Step 1: Find the prime factorization of 316446

316446 = 2 x 3 x 13 x 4057

Step 2: Find the prime factorization of 316453

316453 = 316453

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

LCM = 100140286038 = 2 x 3 x 13 x 4057 x 316453

Step 4: Therefore, the least common multiple of 316446 and 316453 is 100140286038.