Least Common Multiple of 307405 and 307412

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

• Least Common Multiple of 307405 and 307412 by Prime method
• Least Common Multiple of 307405 and 307412 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307405 and 307412. First we will calculate the prime factors of 307405 and 307412.

Prime Factorization of 307405

Prime factors of 307405 are 5, 7,8783. Prime factorization of 307405 in exponential form is:

307405 = 5¹×7¹×8783¹

Prime Factorization of 307412

Prime factors of 307412 are 2, 7,10979. Prime factorization of 307412 in exponential form is:

307412 = 2²×7¹×10979¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307405 and 307412.

LCM(307405,307412) = 2²×5¹×7¹×8783¹×10979¹
LCM(307405,307412) = 13499997980

Factors of 307405

List of positive integer factors of 307405 that divides 307405 without a remainder.

1, 5, 7, 35, 8783, 43915, 61481, 307405

Factors of 307412

List of positive integer factors of 307412 that divides 307412 without a remainder.

1, 2, 4, 7, 14, 28, 10979, 21958, 43916, 76853, 153706, 307412

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307405 and 307412, than apply into the LCM equation.

GCF(307405,307412) = 7
LCM(307405,307412) = ( 307405 × 307412) / 7
LCM(307405,307412) = 94499985860 / 7
LCM(307405,307412) = 13499997980

(i) The LCM of 307412 and 307405 is associative

LCM of 307405 and 307412 = LCM of 307412 and 307405

1. What is the LCM of 307405 and 307412?

Answer: LCM of 307405 and 307412 is 13499997980.

2. What are the Factors of 307405?

Answer: Factors of 307405 are 1, 5, 7, 35, 8783, 43915, 61481, 307405. There are 8 integers that are factors of 307405. The greatest factor of 307405 is 307405.

3. What are the Factors of 307412?

Answer: Factors of 307412 are 1, 2, 4, 7, 14, 28, 10979, 21958, 43916, 76853, 153706, 307412. There are 12 integers that are factors of 307412. The greatest factor of 307412 is 307412.

4. How to Find the LCM of 307405 and 307412?

Answer:

Least Common Multiple of 307405 and 307412 = 13499997980

Step 1: Find the prime factorization of 307405

307405 = 5 x 7 x 8783

Step 2: Find the prime factorization of 307412

307412 = 2 x 2 x 7 x 10979

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

LCM = 13499997980 = 2 x 2 x 5 x 7 x 8783 x 10979

Step 4: Therefore, the least common multiple of 307405 and 307412 is 13499997980.