Least Common Multiple of 47299 and 47306

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

• Least Common Multiple of 47299 and 47306 by Prime method
• Least Common Multiple of 47299 and 47306 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 47299 and 47306. First we will calculate the prime factors of 47299 and 47306.

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 47306

Prime factors of 47306 are 2, 7, 31,109. Prime factorization of 47306 in exponential form is:

47306 = 2¹×7¹×31¹×109¹

Now multiplying the highest exponent prime factors to calculate the LCM of 47299 and 47306.

LCM(47299,47306) = 2¹×7¹×29¹×31¹×109¹×233¹
LCM(47299,47306) = 319646642

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 47306

List of positive integer factors of 47306 that divides 47306 without a remainder.

1, 2, 7, 14, 31, 62, 109, 217, 218, 434, 763, 1526, 3379, 6758, 23653, 47306

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47299 and 47306, than apply into the LCM equation.

GCF(47299,47306) = 7
LCM(47299,47306) = ( 47299 × 47306) / 7
LCM(47299,47306) = 2237526494 / 7
LCM(47299,47306) = 319646642

(i) The LCM of 47306 and 47299 is associative

LCM of 47299 and 47306 = LCM of 47306 and 47299

1. What is the LCM of 47299 and 47306?

Answer: LCM of 47299 and 47306 is 319646642.

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 47306?

Answer: Factors of 47306 are 1, 2, 7, 14, 31, 62, 109, 217, 218, 434, 763, 1526, 3379, 6758, 23653, 47306. There are 16 integers that are factors of 47306. The greatest factor of 47306 is 47306.

4. How to Find the LCM of 47299 and 47306?

Answer:

Least Common Multiple of 47299 and 47306 = 319646642

Step 1: Find the prime factorization of 47299

47299 = 7 x 29 x 233

Step 2: Find the prime factorization of 47306

47306 = 2 x 7 x 31 x 109

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

LCM = 319646642 = 2 x 7 x 29 x 31 x 109 x 233

Step 4: Therefore, the least common multiple of 47299 and 47306 is 319646642.