Least Common Multiple of 47318 and 47325

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

• Least Common Multiple of 47318 and 47325 by Prime method
• Least Common Multiple of 47318 and 47325 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 47318 and 47325. First we will calculate the prime factors of 47318 and 47325.

Prime Factorization of 47318

Prime factors of 47318 are 2, 59,401. Prime factorization of 47318 in exponential form is:

47318 = 2¹×59¹×401¹

Prime Factorization of 47325

Prime factors of 47325 are 3, 5,631. Prime factorization of 47325 in exponential form is:

47325 = 3¹×5²×631¹

Now multiplying the highest exponent prime factors to calculate the LCM of 47318 and 47325.

LCM(47318,47325) = 2¹×3¹×5²×59¹×401¹×631¹
LCM(47318,47325) = 2239324350

Factors of 47318

List of positive integer factors of 47318 that divides 47318 without a remainder.

1, 2, 59, 118, 401, 802, 23659, 47318

Factors of 47325

List of positive integer factors of 47325 that divides 47325 without a remainder.

1, 3, 5, 15, 25, 75, 631, 1893, 3155, 9465, 15775, 47325

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47318 and 47325, than apply into the LCM equation.

GCF(47318,47325) = 1
LCM(47318,47325) = ( 47318 × 47325) / 1
LCM(47318,47325) = 2239324350 / 1
LCM(47318,47325) = 2239324350

(i) The LCM of 47325 and 47318 is associative

LCM of 47318 and 47325 = LCM of 47325 and 47318

1. What is the LCM of 47318 and 47325?

Answer: LCM of 47318 and 47325 is 2239324350.

2. What are the Factors of 47318?

Answer: Factors of 47318 are 1, 2, 59, 118, 401, 802, 23659, 47318. There are 8 integers that are factors of 47318. The greatest factor of 47318 is 47318.

3. What are the Factors of 47325?

Answer: Factors of 47325 are 1, 3, 5, 15, 25, 75, 631, 1893, 3155, 9465, 15775, 47325. There are 12 integers that are factors of 47325. The greatest factor of 47325 is 47325.

4. How to Find the LCM of 47318 and 47325?

Answer:

Least Common Multiple of 47318 and 47325 = 2239324350

Step 1: Find the prime factorization of 47318

47318 = 2 x 59 x 401

Step 2: Find the prime factorization of 47325

47325 = 3 x 5 x 5 x 631

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

LCM = 2239324350 = 2 x 3 x 5 x 5 x 59 x 401 x 631

Step 4: Therefore, the least common multiple of 47318 and 47325 is 2239324350.