Least Common Multiple of 47308 and 47316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47308 and 47316 the smallest integer that is 559606332 that is divisible by both numbers.

Least Common Multiple (LCM) of 47308 and 47316 is 559606332.

LCM(47308,47316) = 559606332

LCM of 47308 and 47316

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

LCM of:
and

Least Common Multiple of 47308 and 47316

LCM of 47308 and 47316 is 559606332

Least common multiple can be found by multiplying the highest exponent prime factors of 47308 and 47316. First we will calculate the prime factors of 47308 and 47316.

Prime Factorization of 47308


2 47308
2 23654
11827 11827
1

Prime factors of 47308 are 2,11827. Prime factorization of 47308 in exponential form is:

47308 = 22×118271

Prime Factorization of 47316


2 47316
2 23658
3 11829
3943 3943
1

Prime factors of 47316 are 2, 3,3943. Prime factorization of 47316 in exponential form is:

47316 = 22×31×39431

Now multiplying the highest exponent prime factors to calculate the LCM of 47308 and 47316.

LCM(47308,47316) = 22×31×39431×118271
LCM(47308,47316) = 559606332

Factors of 47308

List of positive integer factors of 47308 that divides 47308 without a remainder.

1, 2, 4, 11827, 23654, 47308

Factors of 47316

List of positive integer factors of 47316 that divides 47316 without a remainder.

1, 2, 3, 4, 6, 12, 3943, 7886, 11829, 15772, 23658, 47316

Least Common Multiple of 47308 and 47316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47308 and 47316, than apply into the LCM equation.

GCF(47308,47316) = 4
LCM(47308,47316) = ( 47308 × 47316) / 4
LCM(47308,47316) = 2238425328 / 4
LCM(47308,47316) = 559606332

Properties of LCM 47308 and 47316

(i) The LCM of 47316 and 47308 is associative

LCM of 47308 and 47316 = LCM of 47316 and 47308

Related Least Common Multiples of 47308

Related Least Common Multiples of 47316

Frequently Asked Questions on LCM of 47308 and 47316

1. What is the LCM of 47308 and 47316?

Answer: LCM of 47308 and 47316 is 559606332.

2. What are the Factors of 47308?

Answer: Factors of 47308 are 1, 2, 4, 11827, 23654, 47308. There are 6 integers that are factors of 47308. The greatest factor of 47308 is 47308.

3. What are the Factors of 47316?

Answer: Factors of 47316 are 1, 2, 3, 4, 6, 12, 3943, 7886, 11829, 15772, 23658, 47316. There are 12 integers that are factors of 47316. The greatest factor of 47316 is 47316.

4. How to Find the LCM of 47308 and 47316?

Answer:

Least Common Multiple of 47308 and 47316 = 559606332

Step 1: Find the prime factorization of 47308

47308 = 2 x 2 x 11827

Step 2: Find the prime factorization of 47316

47316 = 2 x 2 x 3 x 3943

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

LCM = 559606332 = 2 x 2 x 3 x 3943 x 11827

Step 4: Therefore, the least common multiple of 47308 and 47316 is 559606332.