Least Common Multiple of 307405 and 307410

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

• Least Common Multiple of 307405 and 307410 by Prime method
• Least Common Multiple of 307405 and 307410 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307405 and 307410. First we will calculate the prime factors of 307405 and 307410.

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 307410

Prime factors of 307410 are 2, 3, 5,10247. Prime factorization of 307410 in exponential form is:

307410 = 2¹×3¹×5¹×10247¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307405 and 307410.

LCM(307405,307410) = 2¹×3¹×5¹×7¹×8783¹×10247¹
LCM(307405,307410) = 18899874210

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 307410

List of positive integer factors of 307410 that divides 307410 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 10247, 20494, 30741, 51235, 61482, 102470, 153705, 307410

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307405 and 307410, than apply into the LCM equation.

GCF(307405,307410) = 5
LCM(307405,307410) = ( 307405 × 307410) / 5
LCM(307405,307410) = 94499371050 / 5
LCM(307405,307410) = 18899874210

(i) The LCM of 307410 and 307405 is associative

LCM of 307405 and 307410 = LCM of 307410 and 307405

1. What is the LCM of 307405 and 307410?

Answer: LCM of 307405 and 307410 is 18899874210.

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 307410?

Answer: Factors of 307410 are 1, 2, 3, 5, 6, 10, 15, 30, 10247, 20494, 30741, 51235, 61482, 102470, 153705, 307410. There are 16 integers that are factors of 307410. The greatest factor of 307410 is 307410.

4. How to Find the LCM of 307405 and 307410?

Answer:

Least Common Multiple of 307405 and 307410 = 18899874210

Step 1: Find the prime factorization of 307405

307405 = 5 x 7 x 8783

Step 2: Find the prime factorization of 307410

307410 = 2 x 3 x 5 x 10247

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

LCM = 18899874210 = 2 x 3 x 5 x 7 x 8783 x 10247

Step 4: Therefore, the least common multiple of 307405 and 307410 is 18899874210.