Least Common Multiple of 47299 and 47302

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

• Least Common Multiple of 47299 and 47302 by Prime method
• Least Common Multiple of 47299 and 47302 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 47299 and 47302. First we will calculate the prime factors of 47299 and 47302.

Prime Factorization of 47299

Prime factors of 47299 are 7, 29,233. Prime factorization of 47299 in exponential form is:

47299 = 7¹×29¹×233¹

Prime Factorization of 47302

Prime factors of 47302 are 2, 67,353. Prime factorization of 47302 in exponential form is:

47302 = 2¹×67¹×353¹

Now multiplying the highest exponent prime factors to calculate the LCM of 47299 and 47302.

LCM(47299,47302) = 2¹×7¹×29¹×67¹×233¹×353¹
LCM(47299,47302) = 2237337298

Factors of 47299

List of positive integer factors of 47299 that divides 47299 without a remainder.

1, 7, 29, 203, 233, 1631, 6757, 47299

Factors of 47302

List of positive integer factors of 47302 that divides 47302 without a remainder.

1, 2, 67, 134, 353, 706, 23651, 47302

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47299 and 47302, than apply into the LCM equation.

GCF(47299,47302) = 1
LCM(47299,47302) = ( 47299 × 47302) / 1
LCM(47299,47302) = 2237337298 / 1
LCM(47299,47302) = 2237337298

(i) The LCM of 47302 and 47299 is associative

LCM of 47299 and 47302 = LCM of 47302 and 47299

1. What is the LCM of 47299 and 47302?

Answer: LCM of 47299 and 47302 is 2237337298.

2. What are the Factors of 47299?

Answer: Factors of 47299 are 1, 7, 29, 203, 233, 1631, 6757, 47299. There are 8 integers that are factors of 47299. The greatest factor of 47299 is 47299.

3. What are the Factors of 47302?

Answer: Factors of 47302 are 1, 2, 67, 134, 353, 706, 23651, 47302. There are 8 integers that are factors of 47302. The greatest factor of 47302 is 47302.

4. How to Find the LCM of 47299 and 47302?

Answer:

Least Common Multiple of 47299 and 47302 = 2237337298

Step 1: Find the prime factorization of 47299

47299 = 7 x 29 x 233

Step 2: Find the prime factorization of 47302

47302 = 2 x 67 x 353

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

LCM = 2237337298 = 2 x 7 x 29 x 67 x 233 x 353

Step 4: Therefore, the least common multiple of 47299 and 47302 is 2237337298.