Least Common Multiple of 47314 and 47319

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

• Least Common Multiple of 47314 and 47319 by Prime method
• Least Common Multiple of 47314 and 47319 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 47314 and 47319. First we will calculate the prime factors of 47314 and 47319.

Prime Factorization of 47314

Prime factors of 47314 are 2, 41,577. Prime factorization of 47314 in exponential form is:

47314 = 2¹×41¹×577¹

Prime Factorization of 47319

Prime factors of 47319 are 3,15773. Prime factorization of 47319 in exponential form is:

47319 = 3¹×15773¹

Now multiplying the highest exponent prime factors to calculate the LCM of 47314 and 47319.

LCM(47314,47319) = 2¹×3¹×41¹×577¹×15773¹
LCM(47314,47319) = 2238851166

Factors of 47314

List of positive integer factors of 47314 that divides 47314 without a remainder.

1, 2, 41, 82, 577, 1154, 23657, 47314

Factors of 47319

List of positive integer factors of 47319 that divides 47319 without a remainder.

1, 3, 15773, 47319

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47314 and 47319, than apply into the LCM equation.

GCF(47314,47319) = 1
LCM(47314,47319) = ( 47314 × 47319) / 1
LCM(47314,47319) = 2238851166 / 1
LCM(47314,47319) = 2238851166

(i) The LCM of 47319 and 47314 is associative

LCM of 47314 and 47319 = LCM of 47319 and 47314

1. What is the LCM of 47314 and 47319?

Answer: LCM of 47314 and 47319 is 2238851166.

2. What are the Factors of 47314?

Answer: Factors of 47314 are 1, 2, 41, 82, 577, 1154, 23657, 47314. There are 8 integers that are factors of 47314. The greatest factor of 47314 is 47314.

3. What are the Factors of 47319?

Answer: Factors of 47319 are 1, 3, 15773, 47319. There are 4 integers that are factors of 47319. The greatest factor of 47319 is 47319.

4. How to Find the LCM of 47314 and 47319?

Answer:

Least Common Multiple of 47314 and 47319 = 2238851166

Step 1: Find the prime factorization of 47314

47314 = 2 x 41 x 577

Step 2: Find the prime factorization of 47319

47319 = 3 x 15773

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

LCM = 2238851166 = 2 x 3 x 41 x 577 x 15773

Step 4: Therefore, the least common multiple of 47314 and 47319 is 2238851166.