Least Common Multiple of 307410 and 307414

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

• Least Common Multiple of 307410 and 307414 by Prime method
• Least Common Multiple of 307410 and 307414 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307410 and 307414. First we will calculate the prime factors of 307410 and 307414.

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

Prime Factorization of 307414

Prime factors of 307414 are 2, 281,547. Prime factorization of 307414 in exponential form is:

307414 = 2¹×281¹×547¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307410 and 307414.

LCM(307410,307414) = 2¹×3¹×5¹×281¹×547¹×10247¹
LCM(307410,307414) = 47251068870

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

Factors of 307414

List of positive integer factors of 307414 that divides 307414 without a remainder.

1, 2, 281, 547, 562, 1094, 153707, 307414

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307410 and 307414, than apply into the LCM equation.

GCF(307410,307414) = 2
LCM(307410,307414) = ( 307410 × 307414) / 2
LCM(307410,307414) = 94502137740 / 2
LCM(307410,307414) = 47251068870

(i) The LCM of 307414 and 307410 is associative

LCM of 307410 and 307414 = LCM of 307414 and 307410

1. What is the LCM of 307410 and 307414?

Answer: LCM of 307410 and 307414 is 47251068870.

2. 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.

3. What are the Factors of 307414?

Answer: Factors of 307414 are 1, 2, 281, 547, 562, 1094, 153707, 307414. There are 8 integers that are factors of 307414. The greatest factor of 307414 is 307414.

4. How to Find the LCM of 307410 and 307414?

Answer:

Least Common Multiple of 307410 and 307414 = 47251068870

Step 1: Find the prime factorization of 307410

307410 = 2 x 3 x 5 x 10247

Step 2: Find the prime factorization of 307414

307414 = 2 x 281 x 547

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

LCM = 47251068870 = 2 x 3 x 5 x 281 x 547 x 10247

Step 4: Therefore, the least common multiple of 307410 and 307414 is 47251068870.