Least Common Multiple of 307427 and 307434

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

• Least Common Multiple of 307427 and 307434 by Prime method
• Least Common Multiple of 307427 and 307434 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307427 and 307434. First we will calculate the prime factors of 307427 and 307434.

Prime Factorization of 307427

Prime factors of 307427 are 31, 47,211. Prime factorization of 307427 in exponential form is:

307427 = 31¹×47¹×211¹

Prime Factorization of 307434

Prime factors of 307434 are 2, 3,51239. Prime factorization of 307434 in exponential form is:

307434 = 2¹×3¹×51239¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307427 and 307434.

LCM(307427,307434) = 2¹×3¹×31¹×47¹×211¹×51239¹
LCM(307427,307434) = 94513512318

Factors of 307427

List of positive integer factors of 307427 that divides 307427 without a remainder.

1, 31, 47, 211, 1457, 6541, 9917, 307427

Factors of 307434

List of positive integer factors of 307434 that divides 307434 without a remainder.

1, 2, 3, 6, 51239, 102478, 153717, 307434

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307427 and 307434, than apply into the LCM equation.

GCF(307427,307434) = 1
LCM(307427,307434) = ( 307427 × 307434) / 1
LCM(307427,307434) = 94513512318 / 1
LCM(307427,307434) = 94513512318

(i) The LCM of 307434 and 307427 is associative

LCM of 307427 and 307434 = LCM of 307434 and 307427

1. What is the LCM of 307427 and 307434?

Answer: LCM of 307427 and 307434 is 94513512318.

2. What are the Factors of 307427?

Answer: Factors of 307427 are 1, 31, 47, 211, 1457, 6541, 9917, 307427. There are 8 integers that are factors of 307427. The greatest factor of 307427 is 307427.

3. What are the Factors of 307434?

Answer: Factors of 307434 are 1, 2, 3, 6, 51239, 102478, 153717, 307434. There are 8 integers that are factors of 307434. The greatest factor of 307434 is 307434.

4. How to Find the LCM of 307427 and 307434?

Answer:

Least Common Multiple of 307427 and 307434 = 94513512318

Step 1: Find the prime factorization of 307427

307427 = 31 x 47 x 211

Step 2: Find the prime factorization of 307434

307434 = 2 x 3 x 51239

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

LCM = 94513512318 = 2 x 3 x 31 x 47 x 211 x 51239

Step 4: Therefore, the least common multiple of 307427 and 307434 is 94513512318.