Least Common Multiple of 307427 and 307433

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

• Least Common Multiple of 307427 and 307433 by Prime method
• Least Common Multiple of 307427 and 307433 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307427 and 307433. First we will calculate the prime factors of 307427 and 307433.

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 307433

Prime factors of 307433 are 7, 37,1187. Prime factorization of 307433 in exponential form is:

307433 = 7¹×37¹×1187¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307427 and 307433.

LCM(307427,307433) = 7¹×31¹×37¹×47¹×211¹×1187¹
LCM(307427,307433) = 94513204891

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 307433

List of positive integer factors of 307433 that divides 307433 without a remainder.

1, 7, 37, 259, 1187, 8309, 43919, 307433

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307427 and 307433, than apply into the LCM equation.

GCF(307427,307433) = 1
LCM(307427,307433) = ( 307427 × 307433) / 1
LCM(307427,307433) = 94513204891 / 1
LCM(307427,307433) = 94513204891

(i) The LCM of 307433 and 307427 is associative

LCM of 307427 and 307433 = LCM of 307433 and 307427

1. What is the LCM of 307427 and 307433?

Answer: LCM of 307427 and 307433 is 94513204891.

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 307433?

Answer: Factors of 307433 are 1, 7, 37, 259, 1187, 8309, 43919, 307433. There are 8 integers that are factors of 307433. The greatest factor of 307433 is 307433.

4. How to Find the LCM of 307427 and 307433?

Answer:

Least Common Multiple of 307427 and 307433 = 94513204891

Step 1: Find the prime factorization of 307427

307427 = 31 x 47 x 211

Step 2: Find the prime factorization of 307433

307433 = 7 x 37 x 1187

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

LCM = 94513204891 = 7 x 31 x 37 x 47 x 211 x 1187

Step 4: Therefore, the least common multiple of 307427 and 307433 is 94513204891.