Least Common Multiple of 307436 and 307441

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

• Least Common Multiple of 307436 and 307441 by Prime method
• Least Common Multiple of 307436 and 307441 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307436 and 307441. First we will calculate the prime factors of 307436 and 307441.

Prime Factorization of 307436

Prime factors of 307436 are 2, 151,509. Prime factorization of 307436 in exponential form is:

307436 = 2²×151¹×509¹

Prime Factorization of 307441

Prime factors of 307441 are 23,13367. Prime factorization of 307441 in exponential form is:

307441 = 23¹×13367¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307436 and 307441.

LCM(307436,307441) = 2²×23¹×151¹×509¹×13367¹
LCM(307436,307441) = 94518431276

Factors of 307436

List of positive integer factors of 307436 that divides 307436 without a remainder.

1, 2, 4, 151, 302, 509, 604, 1018, 2036, 76859, 153718, 307436

Factors of 307441

List of positive integer factors of 307441 that divides 307441 without a remainder.

1, 23, 13367, 307441

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307436 and 307441, than apply into the LCM equation.

GCF(307436,307441) = 1
LCM(307436,307441) = ( 307436 × 307441) / 1
LCM(307436,307441) = 94518431276 / 1
LCM(307436,307441) = 94518431276

(i) The LCM of 307441 and 307436 is associative

LCM of 307436 and 307441 = LCM of 307441 and 307436

1. What is the LCM of 307436 and 307441?

Answer: LCM of 307436 and 307441 is 94518431276.

2. What are the Factors of 307436?

Answer: Factors of 307436 are 1, 2, 4, 151, 302, 509, 604, 1018, 2036, 76859, 153718, 307436. There are 12 integers that are factors of 307436. The greatest factor of 307436 is 307436.

3. What are the Factors of 307441?

Answer: Factors of 307441 are 1, 23, 13367, 307441. There are 4 integers that are factors of 307441. The greatest factor of 307441 is 307441.

4. How to Find the LCM of 307436 and 307441?

Answer:

Least Common Multiple of 307436 and 307441 = 94518431276

Step 1: Find the prime factorization of 307436

307436 = 2 x 2 x 151 x 509

Step 2: Find the prime factorization of 307441

307441 = 23 x 13367

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

LCM = 94518431276 = 2 x 2 x 23 x 151 x 509 x 13367

Step 4: Therefore, the least common multiple of 307436 and 307441 is 94518431276.