Least Common Multiple of 307453 and 307461

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

• Least Common Multiple of 307453 and 307461 by Prime method
• Least Common Multiple of 307453 and 307461 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307453 and 307461. First we will calculate the prime factors of 307453 and 307461.

Prime Factorization of 307453

Prime factors of 307453 are 53,5801. Prime factorization of 307453 in exponential form is:

307453 = 53¹×5801¹

Prime Factorization of 307461

Prime factors of 307461 are 3, 7,11. Prime factorization of 307461 in exponential form is:

307461 = 3¹×7¹×11⁴

Now multiplying the highest exponent prime factors to calculate the LCM of 307453 and 307461.

LCM(307453,307461) = 3¹×7¹×11⁴×53¹×5801¹
LCM(307453,307461) = 94529806833

Factors of 307453

List of positive integer factors of 307453 that divides 307453 without a remainder.

1, 53, 5801, 307453

Factors of 307461

List of positive integer factors of 307461 that divides 307461 without a remainder.

1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847, 1331, 2541, 3993, 9317, 14641, 27951, 43923, 102487, 307461

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307453 and 307461, than apply into the LCM equation.

GCF(307453,307461) = 1
LCM(307453,307461) = ( 307453 × 307461) / 1
LCM(307453,307461) = 94529806833 / 1
LCM(307453,307461) = 94529806833

(i) The LCM of 307461 and 307453 is associative

LCM of 307453 and 307461 = LCM of 307461 and 307453

1. What is the LCM of 307453 and 307461?

Answer: LCM of 307453 and 307461 is 94529806833.

2. What are the Factors of 307453?

Answer: Factors of 307453 are 1, 53, 5801, 307453. There are 4 integers that are factors of 307453. The greatest factor of 307453 is 307453.

3. What are the Factors of 307461?

Answer: Factors of 307461 are 1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847, 1331, 2541, 3993, 9317, 14641, 27951, 43923, 102487, 307461. There are 20 integers that are factors of 307461. The greatest factor of 307461 is 307461.

4. How to Find the LCM of 307453 and 307461?

Answer:

Least Common Multiple of 307453 and 307461 = 94529806833

Step 1: Find the prime factorization of 307453

307453 = 53 x 5801

Step 2: Find the prime factorization of 307461

307461 = 3 x 7 x 11 x 11 x 11 x 11

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

LCM = 94529806833 = 3 x 7 x 11 x 11 x 11 x 11 x 53 x 5801

Step 4: Therefore, the least common multiple of 307453 and 307461 is 94529806833.